Q: Car won't start

Started off occasionally not starting, sometimes with a couple of tries it would finally start but now, nothing. All of the lights come on, radio comes on, etc. but the starter won't turn, no cranking noise. All of the dashboard lights come on when I turn the key to start but nothing happens. I think it's the starter that needs to be replaced; would you agree?

My car has 210000 miles.
My car has an automatic transmission.