Suta Gosvami replied, "About thirty years after Lord Krsna's departure to His abode, on the ninth day of the bright fortnight in the month of Bhadra, Sukadeva recited Bhagavatam to Pariksit. Two hundred years later in the month of Asadha, on the ninth day of the bright fortnight Gokarna recited Bhagavatam to Dhundhukari. Thirty years later, in the month of Karttika on the ninth day of the bright fortnight, the Kumaras recited it to Narada Muni."

SUMMARY

3150 BC: Battle of Kuruksetra

February 18, 3102 BC (around): Krsna's disappearance, beginning of Kali Yuga (Thus Krsna was present for around 125+48 = 173 years)

30 years after i.e 3072 BC: Sukadeva Goswami speaks Bhadra Navami Bhagavatam to Maharaj Pariksit

200 years later i.e. 2872 BC: Gokarna recited Bhagavatam to Dhundhukari on Asadha Navami

30 years later i.e. 2842 BC: Kumaras recited to Narada Muni on Karttika Navami

Around 2000 BC: Suta Goswami recited to the sages at Naimisaranya (long after the battle of Kuruksetra)

1000 BC: Compiling of Mahabharata

500 BC: Compiling of Ramayana

900 AD: Vyasadeva completed writing the 12 Canto of the Bhagavatam

The first and the the last three dates have been picked up from the Introduction of Sri Krsna-samhita by Srila Bhaktivinoda Thakura. He gives the date of the writing of the Srimad Bhagavatam as being around 900 AD in the opinion of modern scholars and goes on to give very foolproof evidences regarding this which the modern scholars give. Though Bhaktivinoda Thakura himself put a lot of effort into writing this Intro., he leaves it upto the reader to accept it or not.

And he writes while trying to figure out a date of compiling of the Bhagavatam as per the modern scholars:

"Now we will consider the modern scholars view on the date of the appearance of Srimad Bhagavatam, the jewel of all scriptures. Not understanding our statements, third-grade people may lose all faith and consider it a recent work. Therefore they should read this section..."