Finding the Third Proportional to 102,375 and 156,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,375 : 156,822.50 = 156,822.50 : x
2. Step 2: Convert to fraction form
   102,375/156,822.50 = 156,822.50/x
3. Step 3: Cross multiply
   102,375x = 156,822.50 × 156,822.50
4. Step 4: Simplify right side
   102,375x = 24,593,296,506.25
5. Step 5: Solve for x
   x = 24,593,296,506.25/102,375
6. Step 6: Final answer
   x = 240,227.56