Connect to virtual server on external VLAN from Internal VLAN

I have an LTM version 10.0.1, with an HTTPS proxy set up on the external VLAN, say 10.10.250.0/4. The pool members are on the inside VLAN, say 10.10.212.0/24. There is another internal VLAN at 10.10.213.0/24 that has some other application servers. I am asked to accomodate a conenction from a host in the internal VLAN to the HTTPS proxy on the external VLAN while using F5 as the default gateway. So the traffic goes from say 10.10.213.100 to HTTPS proxy at 10.10.250.100, with the gateway at 10.10.213.10, which is the F5 IP for that VLAN. Also there is a SNAT for host 10.10.213.100 that will translate to 10.10.250.50. How will this work?

 

Thanks.