In this task, you are given a list of integers and an integer k. You need to find the kth largest element in the input list.

Example Input: [154, 185, 180, 217, 200, 49, 133, 203, 10, 250, 256, 289, 69, 260, 186, 149, 244, 271, 225, 178], k=2
Example Output: 271

Example Input: [102, 296, 258, 44, 199, 174, 216, 299, 188, 147, 255, 28, 241, 21, 32, 243, 276, 128, 57, 142], k=13
Example Output: 142

Example Input: [175, 67, 115, 224, 278, 34, 72, 53, 68, 99, 174, 16, 198, 126, 270, 144, 69, 131, 45, 26], k=11
Example Output:
99