EXHIBIT 24.2
 
                               POWER OF ATTORNEY
 
    KNOW ALL PERSONS BY THESE PRESENTS, that Randy Michaels hereby constitutes
and appoints R. Christopher Weber and Jon M. Berry, or either of them, as his
true and lawful attorneys-in-fact and agents, with full power of substitution
and resubstitution, for him and in his name, place and stead, in any and all
capacitites, to sign the Form S-3 Registration Statement regarding the shelf
registration of certain securities and any or all amendments (including
post-effective amendments) thereto (and to any Registration Statement filed
pursuant to Rule 462 under the Securities Act), and to file the same, with all
exhibits thereto, and all documents in connection therewith, with the Securities
and Exchange Commission, granting unto said attorneys-in-fact and agents, full
power and authority to do and perform each and every act and thing requisite and
necessary to be done in and about the foregoing, as fully as to all intents and
purposes as he might or could do in person, hereby ratifying and confirming all
that said attorneys-in-fact and agents, or any of them, or their or his
substitute or substitutes, may lawfully do or cause to be done by virture
hereof.
 
    Pursuant to the requirements of the Securities Act of 1933, as amended, this
Power of Attorney has been signed on January 3, 1997 by Randy Michaels in the
capacities and for the entities indicated.
 
                                          /s/ Randy Michaels
                                          --------------------------------------
                                          Randy Michaels
                                          PRESIDENT
                                          of the entities set forth on the
                                          attached Schedule 1
                                          and
                                          DIRECTOR
                                          of the entities set forth on the
                                          attached Schedule 2

                                   SCHEDULE 1
 
                         Jacor Broadcasting Corporation
                            Broadcast Finance, Inc.
                      Jacor Broadcasting of Florida, Inc.
                      Jacor Broadcasting of Atlanta, Inc.
                      Jacor Broadcasting of Colorado, Inc.
                     Jacor Broadcasting of Lexington, Inc.
                     Jacor Broadcasting of Knoxville, Inc.
                     Jacor Broadcasting of Tampa Bay, Inc.
                               Jacor Cable, Inc.
                        Georgia Network Equipment, Inc.
                     Jacor Broadcasting of San Diego, Inc.
                     Jacor Broadcasting of St. Louis, Inc.
                      Jacor Broadcasting of Sarasota, Inc.
                       Jacor Broadcasting of Idaho, Inc.
                       Inmobiliaria Radial, S.A. de C.V.
                        Jacor Broadcasting of Iowa, Inc.
                          Noble Broadcast Group, Inc.
                       Noble Broadcast of Colorado, Inc.
                       Noble Broadcast of San Diego, Inc.
                       Noble Broadcast of St. Louis, Inc.
                        Noble Broadcast of Toledo, Inc.
                           Nova Marketing Group, Inc.
                         Noble Broadcast Licenses, Inc.
                         Noble Broadcast Holdings, Inc.
                        Sports Radio Broadcasting, Inc.
                                  Nobro, S.C.
                               Sports Radio, Inc.
                          Noble Broadcast Center, Inc.
                                Citicasters Co.
                                GACC-N26LB, Inc.
                                 GACC-340, Inc.
                             Cine Guarantors, Inc.
                  Great American Television Productions, Inc.
                            Cine Guarantors II, Inc.
                    Great American Merchandising Group, Inc.
                       Taft-TCI Satellite Services, Inc.
                                Cine Films, Inc.
                      The Sy Fischer Company Agency, Inc.
                           Location Productions, Inc.
                         Location Productions II, Inc.
                                VTTV Productions
                                   WHOK, Inc.
                        Cine Mobile Systems Int'l. N.V.
                            Cine Movil S.A. de C.V.
                           F.M.I. Pennsylvania, Inc.
                            Cine Guarantors II, Ltd.

                                   SCHEDULE 2
 
                      Jacor Broadcasting of Florida, Inc.
                       Inmobiliaria Radial, S.A. de C.V.
                                  Nobro, S.C.