how can intranet and Internet DNS coexist

[Kevin]

We have a simple corporate network with a T1 connection to the
Internet and a local DNS (Win NT4.0 SP5)  server. All LAN PC's are
configured to point to that local DNS server for Internet  name
resolution. Recently we connected our network to another large
corporate network which has its own intranet and consequently DNS
servers. However, these DNS servers are private and only have
information about the private domain and subdomains.

Here is my question: How can I configure my local PC's to go to my
local DNS server for Internet name resolution and to the private DNS
server for name resolution on the remote intranet. I have tried
configuring the PC's with both DNS entries but it doesn't seem to
work. The network whose DNS server is listed first works, the other
doesn't.

Is there a way that I could instruct my local DNS server to talk to
the remote private DNS server when a query comes in for that private
domain?


any help would be greatly appreciated.

thanks,

-kevin