Finding the Third Proportional to 83,451 and 129,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,451 : 129,391.50 = 129,391.50 : x
2. Step 2: Convert to fraction form
   83,451/129,391.50 = 129,391.50/x
3. Step 3: Cross multiply
   83,451x = 129,391.50 × 129,391.50
4. Step 4: Simplify right side
   83,451x = 16,742,160,272.25
5. Step 5: Solve for x
   x = 16,742,160,272.25/83,451
6. Step 6: Final answer
   x = 200,622.64