2021 AMC 12A Question 16

In the following list of numbers, the integer $n$ appears $n$ times in the list for $1 \le n \le 200.$ $1,$ $2,$ $2,$ $3,$ $3,$ $3,$ $4,$ $4,$ $4,$ $4,$ $\ldots,$ $200,$ $200,$ $\ldots,$ $200$

What is the median of the numbers in this list?