Finding the Third Proportional to 127,501.50 and 199,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,501.50 : 199,591.50 = 199,591.50 : x
2. Step 2: Convert to fraction form
   127,501.50/199,591.50 = 199,591.50/x
3. Step 3: Cross multiply
   127,501.50x = 199,591.50 × 199,591.50
4. Step 4: Simplify right side
   127,501.50x = 39,836,766,872.25
5. Step 5: Solve for x
   x = 39,836,766,872.25/127,501.50
6. Step 6: Final answer
   x = 312,441.55