Setting a Preferred Network Adapter for browsing

My PC at work is connected to 2 networks;

1. LAN: local corporate network for remote desktop access and very slow internet connection
2. WAN: wireless faster internet browsing

I need to be connected to both networks, but I want my internet browsing to use a specific one (WAN, because it is faster and no restriction). Is there a way to setup the default/preferred network adapter for the internet browsing?

From this Microsoft article:
How to change the binding order of network adapters in Windows XP and in Windows 2000
(it still works in newer Windows versions)

How to change the binding order of network adapters

1. Click Start, click Run, type ncpa.cpl , and then click OK.
   You can see the available connections in the LAN and High-Speed Internet section of the Network Connections window.
2. On the Advanced menu, click Advanced Settings, and then click the Adapters and Bindings tab.
3. In the Connections area, select the connection that you want to move higher in the list. Use the arrow buttons to move the connection.