Although I wouldn't know an Xbox if I fell over one, I would assume the options were the same as those for sharing internet access with two PCs:
1) Install a Wireless Network Adapter in each PC and create an “Ad Hoc” Wireless Network. This is a network in which the two PCs talk directly with one another, rather than via a Wireless Access Point. “Internet Connection Sharing” is then enabled on the actual Internet connection in the “host” PC and the “client” PC will have Internet access provided the “host” is running and online. [For "client PC, read Xbox]
When you enable “Internet Connection Sharing” on the Internet connection, it automatically configures the Local Area Connection with the IP address 192.168.0.1 and subnet mask 255.255.255.0. However, as you will be using a WiFi adapter, you want this address to be allocated to it, rather than a “wired” Ethernet adapter if you have one fitted (and NOT in use as the internet connection to the cable modem), so the Local Area Connection should be disabled before setting up “Internet Connection Sharing”. The "Client" PC's Local Area Connection should be set to get its IP address automatically, which it does by DHCP from the "Host" PC. Also, if you run the Zone Alarm firewall in your “Host” PC, the Internet Zone Security level must be reduced from High to Medium or “ICS” traffic will be blocked.
2) The preferred option for connecting more than one computer is to use a wireless broadband Router. This is an ”Infrastructure” wireless network because the connected PCs communicate via the router’s Wireless Access Point. Again, a wireless adapter is installed in any PC that needs to connect wirelessly, but often the main PC is close enough to the router for it to use a “wired” connection with only the remote PC connecting wirelessly
With a router, it is the router which connects directly to the ISP and not one of the connected PCs. The router in turn allocates the IP addresses to the PCs, using one of the address ranges reserved for Local Area Networks, usually 192.168.xxx.xxx