The fair place to meet is El Paso, TX — the city closest to the midpoint of Los Angeles and San Antonio. From the farther side that’s about 14 hr 40 min of driving.
Recommended midpoint
El Paso, TX
From Los Angeles
14 hr 40 min
700 mi to El Paso
From San Antonio
10 hr 31 min
502 mi to El Paso
San Antonio has the shorter trip; the split is off by about 4 hr 9 min. The alternatives below can even it out. Los Angeles and San Antonio are about 1,202 miles apart.
Los Angeles and San Antonio are about 1,202 miles apart by road. Split the difference and you arrive near El Paso, the city closest to the halfway point between them. That puts roughly 14 hr 40 min of driving on the Los Angeles side and 10 hr 31 min on the San Antonio side — the fairest single meeting point among the cities near the middle.
Over this distance most people will fly rather than drive the whole way. El Paso still makes a fair, central place for Los Angeles and San Antonio to converge, splitting the travel instead of asking one side to cross the country.
If El Paso doesn't have what you're after, Tucson and Phoenix are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Los Angeles and San Antonio.
El Paso is a city in and the county seat of El Paso County, Texas, United States. It is the 22nd-most populous city in the U.S., sixth-most populous city in Texas, and the most populous city in West Texas with a population of 678,815 at the 2020 census. Read more →
Los Angeles (LA) is the most populous city in the U.S. state of California, and the commercial, financial, and cultural center of Southern California. Read more →
San Antonio is a city in the U.S. state of Texas. It is the seventh-most populous city in the United States, the second-most populous city in Texas, and the second-most populous city in the Southern U.S., with a population of 1.43 million at the 2020 census. Read more →
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.
Estimates use straight-line distance and typical road speeds; real drive times vary with route and traffic.