Finding the Third Proportional to 52,827 and 116,022

Step by Step Solution

1. Step 1: Write the proportion equation
   52,827 : 116,022 = 116,022 : x
2. Step 2: Convert to fraction form
   52,827/116,022 = 116,022/x
3. Step 3: Cross multiply
   52,827x = 116,022 × 116,022
4. Step 4: Simplify right side
   52,827x = 13,461,104,484
5. Step 5: Solve for x
   x = 13,461,104,484/52,827
6. Step 6: Final answer
   x = 254,814.86