Finding the Third Proportional to 83,540 and 129,500

Step by Step Solution

1. Step 1: Write the proportion equation
   83,540 : 129,500 = 129,500 : x
2. Step 2: Convert to fraction form
   83,540/129,500 = 129,500/x
3. Step 3: Cross multiply
   83,540x = 129,500 × 129,500
4. Step 4: Simplify right side
   83,540x = 16,770,250,000
5. Step 5: Solve for x
   x = 16,770,250,000/83,540
6. Step 6: Final answer
   x = 200,745.15