Finding the Third Proportional to 102,242 and 156,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,242 : 156,932.50 = 156,932.50 : x
2. Step 2: Convert to fraction form
   102,242/156,932.50 = 156,932.50/x
3. Step 3: Cross multiply
   102,242x = 156,932.50 × 156,932.50
4. Step 4: Simplify right side
   102,242x = 24,627,809,556.25
5. Step 5: Solve for x
   x = 24,627,809,556.25/102,242
6. Step 6: Final answer
   x = 240,877.62