Finding the Third Proportional to 102,470.50 and 156,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,470.50 : 156,815.50 = 156,815.50 : x
2. Step 2: Convert to fraction form
   102,470.50/156,815.50 = 156,815.50/x
3. Step 3: Cross multiply
   102,470.50x = 156,815.50 × 156,815.50
4. Step 4: Simplify right side
   102,470.50x = 24,591,101,040.25
5. Step 5: Solve for x
   x = 24,591,101,040.25/102,470.50
6. Step 6: Final answer
   x = 239,982.25