Answer

According to Jain tradition, the next Tirthankar of the coming time-cycle will be Shri Padmanabh Prabhu.

He is traditionally described as the 1st Tirthankar of the next Utsarpini Kāla.

Explanation

In Jain Dharma, time moves in endless cycles:

• Avasarpini — descending time-cycle
• Utsarpini — ascending time-cycle

We are currently in the Avasarpini cycle. The 24 Tirthankars of this cycle ended with Bhagwan Mahavir Swami.

After this Avasarpini is completed and the next Utsarpini begins, the next series of 24 Tirthankars will appear. The first among them will be Shri Padmanabh Prabhu.

Regarding the exact place of birth, Jain tradition commonly states that future Tirthankars will be born in Bharat Kshetra, but the precise detailed location may vary by textual tradition. So it is best to say:

The next Tirthankar, Shri Padmanabh Prabhu, will be born in Bharat Kshetra in the next Utsarpini time-cycle.

Takeaway

The next Tirthankar will not appear in the present era, but in the next ascending time-cycle. Jain Dharma teaches us to focus now on following the path already shown by Bhagwan Mahavir: right faith, right knowledge, and right conduct.