Finding the Third Proportional to 83,721 and 129,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,721 : 129,490.50 = 129,490.50 : x
2. Step 2: Convert to fraction form
   83,721/129,490.50 = 129,490.50/x
3. Step 3: Cross multiply
   83,721x = 129,490.50 × 129,490.50
4. Step 4: Simplify right side
   83,721x = 16,767,789,590.25
5. Step 5: Solve for x
   x = 16,767,789,590.25/83,721
6. Step 6: Final answer
   x = 200,281.76