Apparatus, and an associated method, for facilitating implementation of a location service in a radio communication system. When a location service is initiated, a network-based entity is alerted to the service initiation. The network-based entity generates a message to inquire of network-based information that facilitates the location determination of the mobile station pursuant to the location service. When the information is obtained, the information is forwarded to the mobile station. The information is used at the mobile station to facilitate the effectuation of the location service.