Finding the Third Proportional to 102,564 and 157,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,564 : 157,441.50 = 157,441.50 : x
2. Step 2: Convert to fraction form
   102,564/157,441.50 = 157,441.50/x
3. Step 3: Cross multiply
   102,564x = 157,441.50 × 157,441.50
4. Step 4: Simplify right side
   102,564x = 24,787,825,922.25
5. Step 5: Solve for x
   x = 24,787,825,922.25/102,564
6. Step 6: Final answer
   x = 241,681.54