EXHIBIT 24.3
 
                               POWER OF ATTORNEY
 
    KNOW ALL MEN BY THESE PRESENTS, that the undersigned, a director of TEXACO
INC., a Delaware corporation (the "Company"), hereby makes, designates,
constitutes and appoints KJESTINE M. ANDERSON and ROBERT E. KOCH, and either of
them (with full power to act without the other), as the undersigned's true and
lawful attorneys-in-fact and agents, with full power and authority to act in any
and all capacities for and in the name, place and stead of the undersigned in
connection with the filing of: (i) any and all registration statements and all
amendments and post-effective amendments thereto (collectively, "Registration
Statements") under the Securities Act of 1933, as amended, with the Securities
and Exchange Commission, and any and all registrations, qualifications or
notifications under the applicable securities laws of any and all states and
other jurisdictions, with respect to the securities of the Company of whatever
class, including without limitation thereon the Company's Common Stock, par
value $3.125 per share, and preferred stock, par value $1.00 per share, however
offered, sold, issued, distributed, placed or resold by the Company, by any of
its subsidiary companies, or by any other person or entity, that may be required
to effect: (a) any such filing, (b) any primary or secondary offering, sale,
distribution, exchange or conversion of the Company's securities, or (c) any
acquisition, merger, reorganization or consolidation involving the issuance of
the Company's securities, (d) any stock option, restricted stock grant,
incentive, investment, thrift, profit sharing, or other employee benefit plan
relating to the Company's securities, or (e) any dividend reinvestment or stock
purchase plan relating to the Company's securities: (ii) the Company's Annual
Report to the Securities and Exchange Commission for the year ended December 31,
1998, on Form 10-K, and any and all amendments thereto on Form 8 or otherwise,
under the Securities Exchange Act of 1934, as amended ("Exchange Act"), and
(iii) Statements of Changes of Beneficial Ownership of Securities on Form 4 or
Form 5 (or such other forms as may be designated from time to time for such
purposes), pursuant to Section 16(a) of the Exchange Act.
 
    Without limiting the generality of the foregoing grant of authority, such
attorneys-in-fact and agents, or either of them, are hereby granted full power
and authority, on behalf of and in the name, place and stead of the undersigned,
to execute and deliver all such Registration Statements, registrations,
qualifications, or notifications, the Company's Form 10-K, any and all
amendments thereto, statements of changes, and any all other documents in
connection with the foregoing, and take such other and further action as such
attorneys-in-fact and agents, or either of them, deem necessary or appropriate.
The powers and authorities granted herein to such attorneys-in-fact and agents,
and either of them, also include the full right, power and authority to effect
necessary or appropriate substitutions or revocations. The undersigned hereby
ratifies, confirms, and adopts, as his own act and deed, all action lawfully
taken pursuant to the powers and authorities herein granted by such
attorneys-in-fact and agents, or either of them, or by their respective
substitutes. This power of Attorney expires by its terms and shall be of no
further force and effect on March 31, 1999.
 
    IN WITNESS WHEREOF, the undersigned has hereunto set his name as of the 23rd
day of October, 1998.
 
                                          Charles R. Shoemate