Finding the Third Proportional to 102,547 and 157,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,547 : 157,411.50 = 157,411.50 : x
2. Step 2: Convert to fraction form
   102,547/157,411.50 = 157,411.50/x
3. Step 3: Cross multiply
   102,547x = 157,411.50 × 157,411.50
4. Step 4: Simplify right side
   102,547x = 24,778,380,332.25
5. Step 5: Solve for x
   x = 24,778,380,332.25/102,547
6. Step 6: Final answer
   x = 241,629.50