So, I do this pretty often for work. With practice it takes ~5 minutes for a professional looking job.

First, I cut a hole in wall where the cable will come into the room: it needs to be just the right size and shape to hold a "low voltage mounting bracket." Watch for live wires in the wall.

Next, I feed a "flexible installer drill bit" of appropriate size into the hole and drill down, usually into a crawlspace. Make sure there are no live wires in the hole to hit with your bit.

(Some bits have a small hole to tie to, so you use it to pull your wire back up. However, this never works as smoothly as you'd hope. Instead, you can....)

Feed a couple feet of your cable up through the bottom, then upstairs you can just reach into the hole you cut and pull out your wire. Don't go sticking your hand into random holes without checking first: watch for live wires.

Slap that low voltage mounting bracket in place and install the wall plate of choice.