Finding the Third Proportional to 91,996 and 137,022

Step by Step Solution

1. Step 1: Write the proportion equation
   91,996 : 137,022 = 137,022 : x
2. Step 2: Convert to fraction form
   91,996/137,022 = 137,022/x
3. Step 3: Cross multiply
   91,996x = 137,022 × 137,022
4. Step 4: Simplify right side
   91,996x = 18,775,028,484
5. Step 5: Solve for x
   x = 18,775,028,484/91,996
6. Step 6: Final answer
   x = 204,085.27