Finding the Third Proportional to 102,685.25 and 224,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,685.25 : 224,695.50 = 224,695.50 : x
2. Step 2: Convert to fraction form
   102,685.25/224,695.50 = 224,695.50/x
3. Step 3: Cross multiply
   102,685.25x = 224,695.50 × 224,695.50
4. Step 4: Simplify right side
   102,685.25x = 50,488,067,720.25
5. Step 5: Solve for x
   x = 50,488,067,720.25/102,685.25
6. Step 6: Final answer
   x = 491,677.90