Finding the Third Proportional to 102,380 and 155,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,380 : 155,002.50 = 155,002.50 : x
2. Step 2: Convert to fraction form
   102,380/155,002.50 = 155,002.50/x
3. Step 3: Cross multiply
   102,380x = 155,002.50 × 155,002.50
4. Step 4: Simplify right side
   102,380x = 24,025,775,006.25
5. Step 5: Solve for x
   x = 24,025,775,006.25/102,380
6. Step 6: Final answer
   x = 234,672.54