I ve never run much coax but if are a 3 4 in hole might be a better.
Cable drop through attic multistories.
Tape the end of the fish tape tightly onto the cable with electrical tape.
Use a piece of string that you can add a small weight to such as a steel nut or whatever you can find.
The attic wiring should be protected and secured to ceiling joists or other wood structural supports.
And use semi rigid wiring fish tape to pull your wiring down to your outlet location.
Drop the string and catch it in the wall cutout and use that to pull the cable through.
Yes this should be corrected and it would be good to have the wiring and all the circuit connections inspected as well.
Make sure the tape is smooth so the cable can slide through the opening.
How to install an attic fan video.
Carefully extend the fish tape from one opening to the other.
If drilling downward through the floor repeat the above procedure but expect to pass through 3 4 inch 1 9 cm sub floor and up to an additional 3 4 inch 1 9 cm of finish floor hardwood etc once 2 inches 5 1 cm have been penetrated it should be much easier to drill.
Pull the cable through with a fish tape.
If you will need to fish wiring through a wall drill a hole through the wood plate in the attic only.
This video shows how to install an attic fan to help keep your home cooler.