Hartford and Las Vegas are about 2,290 miles apart by road. Split the difference and you arrive near Kansas City, the city closest to the halfway point between them. That puts roughly 24 hr 24 min of driving on the Hartford side and 23 hr 55 min on the Las Vegas 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. Kansas City still makes a fair, central place for Hartford and Las Vegas to converge, splitting the travel instead of asking one side to cross the country.
If Kansas City doesn't have what you're after, Omaha and Oklahoma City are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Hartford and Las Vegas.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.