|200Ft is probably too far for home grade wireless routers.|
First, you can possibly run a wired network run (Cat5, 5e or 6) out to the garage from the router and either run it hardwired or add a wireless access point in the garage for that area.
Second, If the garage's power comes off the same main power panel as the rest of the house (running off one or two existing circuit breakers), you can use a pair of LAN over power line adapters and either run it hard wired from that adapter or connect a wireless access point to it for the garage and surrounding area.
Third, there is also a way to run a pair of directional antennas if you do have line of sight between the two buildings. See this thread for more details:
You have to be a little bit crazy to keep you from going insane.