Finding the Third Proportional to 83,558 and 129,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,558 : 129,446.50 = 129,446.50 : x
2. Step 2: Convert to fraction form
   83,558/129,446.50 = 129,446.50/x
3. Step 3: Cross multiply
   83,558x = 129,446.50 × 129,446.50
4. Step 4: Simplify right side
   83,558x = 16,756,396,362.25
5. Step 5: Solve for x
   x = 16,756,396,362.25/83,558
6. Step 6: Final answer
   x = 200,536.11