Finding the Third Proportional to 102,612 and 155,280

Step by Step Solution

1. Step 1: Write the proportion equation
   102,612 : 155,280 = 155,280 : x
2. Step 2: Convert to fraction form
   102,612/155,280 = 155,280/x
3. Step 3: Cross multiply
   102,612x = 155,280 × 155,280
4. Step 4: Simplify right side
   102,612x = 24,111,878,400
5. Step 5: Solve for x
   x = 24,111,878,400/102,612
6. Step 6: Final answer
   x = 234,981.08