Bo: Eating the Afikoman

The plague of the Makas Bechoros took place at midnight [Shemos 12:29]. This is why we eat the afikoman before midnight on Pesach [Shulchan Aruch, Orach Chaim 477:1]. On the first night of Pesach in the year 5774 (2014), shkiah is at 7:30pm and sunrise is at 6:11 am the next morning.

Question: Based on the opinion that midnight according to Halacha (Jewish law) is the midpoint between sunrise and sunset, what is the latest time a person can eat the afikoman?

Answer: 12:00pm – 7:30pm = 4:30

4:30 + 6:11 = 10:41

10:41 / 2 = 5:20:30

7:30 + 5:20:30 = 12:50:30pm