Finding the Third Proportional to 102,585 and 157,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,585 : 157,462.50 = 157,462.50 : x
2. Step 2: Convert to fraction form
   102,585/157,462.50 = 157,462.50/x
3. Step 3: Cross multiply
   102,585x = 157,462.50 × 157,462.50
4. Step 4: Simplify right side
   102,585x = 24,794,438,906.25
5. Step 5: Solve for x
   x = 24,794,438,906.25/102,585
6. Step 6: Final answer
   x = 241,696.53