Answer

The next Tirthankar of Bharat Kshetra in the coming Utsarpini kaal will be Shri Padmanabh Swami.

His birthplace is traditionally described as Pushkalavati Nagari.

Explanation

In Jain tradition:

• Current Bharat Kshetra has completed the 24 Tirthankars of the present Avasarpini kaal, ending with Bhagwan Mahavir Swami.
• In the future Utsarpini kaal, the next cycle of 24 Tirthankars will arise.
• The first Tirthankar of that future cycle will be Shri Padmanabh Swami.
• His birthplace is given as Pushkalavati.

The exact present-day geographical location of Pushkalavati is not something I can state with certainty as clearly established within Jain tradition. Some historical identifications may exist, but Jain tradition primarily preserves the sacred name Pushkalavati Nagari, not a confirmed modern map location.

Takeaway

In Jain tradition, the next Tirthankar of Bharat Kshetra will be Shri Padmanabh Swami, born in Pushkalavati Nagari; its exact modern location should not be asserted without certainty.