Finding the Third Proportional to 83,531 and 129,540

Step by Step Solution

1. Step 1: Write the proportion equation
   83,531 : 129,540 = 129,540 : x
2. Step 2: Convert to fraction form
   83,531/129,540 = 129,540/x
3. Step 3: Cross multiply
   83,531x = 129,540 × 129,540
4. Step 4: Simplify right side
   83,531x = 16,780,611,600
5. Step 5: Solve for x
   x = 16,780,611,600/83,531
6. Step 6: Final answer
   x = 200,890.83