So your 200 watt panel put out a peak of 118 watts and a total of 850 watt hours, not 850 watts. That would run a very small, 300 watt, A/C for almost 3 hours. It would run a more typical small unit for about 1 hour and a medium size RV A/C for about 45 minutes. To make up for inefficiencies, a bit of cloudiness or shade and the use of panels mounted flat on the roof and some other minimal electrical use, I would think maybe a 1000 watts of panels would be about right. You would also need a minimum of 1000 AH of batteries which is about a dozen car sized batteries.
