Finding the Third Proportional to 83,535 and 129,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,535 : 129,544.50 = 129,544.50 : x
2. Step 2: Convert to fraction form
   83,535/129,544.50 = 129,544.50/x
3. Step 3: Cross multiply
   83,535x = 129,544.50 × 129,544.50
4. Step 4: Simplify right side
   83,535x = 16,781,777,480.25
5. Step 5: Solve for x
   x = 16,781,777,480.25/83,535
6. Step 6: Final answer
   x = 200,895.16