Member on 2 Gateway Networks - Same Subnet on each

I have a member connecting to 2 separate organizations (2 separate Hamachi networks) which each house a server acting as a Gateway.  Both organizations use 192.168.1.x subnet.  How can my member route to both?

I.E. 192.168.1.123 goes to Org1 192.168.1.123 or Org2 192.168.1.123 ??