Thank you for the post.
Outside connections will need to use the public I.P. address. To determine the network’s public I.P., search the web for “what is my I.P.?” and the address will appear at the top of the browser.
If using the Public I.P. address and you still can't connect remotely, then it is most likely a port forwarding issue.
Please review Knowledge Base Article #7840 regarding connecting remotely to a hosted database file, as this applies to FileMaker Pro clients as well as FileMaker Go clients (3g or Wi-Fi).
For additional information on Port Forwarding, see Knowledge Base Article #9770:
Let me know if any of the above requires further clarification.