Electrical breaker popping
Sounds like an issue I recently faced. My wife was drying her hair in our bathroom. Two of my children were taking a shower (running the lights and fans). Circuit breaker popped and that half of the house went dark. Turns out someone had spliced into the light circuit inside the attic (the attic lights made it easy) to add these extra outlets to the bathroom. My wife, who had the misfortune of picking one of these outlets (she has an original outlet on a different circuit), put the circuit over amps.

My guess is your lonely outlet has some friends, and may be a "We need an outlet here" hack into a smaller circuit. Determine what is on this circuit first. If you're sharing your circuit with, say, a refrigerator, that could be a big problem.

One way to potentially solve this is, if it's an interior wall adjoining another room, to see if there's an outlet on the other side of the wall (on a different circuit, or you'll just exacerbate your single outlet problem). If you have this type of setup, measure to where the outlet will be along the living room side (make sure you figure out where the studs are as well). Then you can use an old work drywall box and fish a wire through the hole into the existing box and splice off of it. I've done this myself and it's a great way to add more outlets without having to do any extensive wire work.