Finding the Third Proportional to 102,340.50 and 157,884

Step by Step Solution

1. Step 1: Write the proportion equation
   102,340.50 : 157,884 = 157,884 : x
2. Step 2: Convert to fraction form
   102,340.50/157,884 = 157,884/x
3. Step 3: Cross multiply
   102,340.50x = 157,884 × 157,884
4. Step 4: Simplify right side
   102,340.50x = 24,927,357,456
5. Step 5: Solve for x
   x = 24,927,357,456/102,340.50
6. Step 6: Final answer
   x = 243,572.75