Finding the Third Proportional to 102,399 and 155,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,399 : 155,029.50 = 155,029.50 : x
2. Step 2: Convert to fraction form
   102,399/155,029.50 = 155,029.50/x
3. Step 3: Cross multiply
   102,399x = 155,029.50 × 155,029.50
4. Step 4: Simplify right side
   102,399x = 24,034,145,870.25
5. Step 5: Solve for x
   x = 24,034,145,870.25/102,399
6. Step 6: Final answer
   x = 234,710.75