Finding the Third Proportional to 83,140.50 and 125,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,140.50 : 125,581.50 = 125,581.50 : x
2. Step 2: Convert to fraction form
   83,140.50/125,581.50 = 125,581.50/x
3. Step 3: Cross multiply
   83,140.50x = 125,581.50 × 125,581.50
4. Step 4: Simplify right side
   83,140.50x = 15,770,713,142.25
5. Step 5: Solve for x
   x = 15,770,713,142.25/83,140.50
6. Step 6: Final answer
   x = 189,687.49