Finding the Third Proportional to 83,522 and 114,531

Step by Step Solution

1. Step 1: Write the proportion equation
   83,522 : 114,531 = 114,531 : x
2. Step 2: Convert to fraction form
   83,522/114,531 = 114,531/x
3. Step 3: Cross multiply
   83,522x = 114,531 × 114,531
4. Step 4: Simplify right side
   83,522x = 13,117,349,961
5. Step 5: Solve for x
   x = 13,117,349,961/83,522
6. Step 6: Final answer
   x = 157,052.63