Finding the Third Proportional to 102,791 and 155,280

Step by Step Solution

1. Step 1: Write the proportion equation
   102,791 : 155,280 = 155,280 : x
2. Step 2: Convert to fraction form
   102,791/155,280 = 155,280/x
3. Step 3: Cross multiply
   102,791x = 155,280 × 155,280
4. Step 4: Simplify right side
   102,791x = 24,111,878,400
5. Step 5: Solve for x
   x = 24,111,878,400/102,791
6. Step 6: Final answer
   x = 234,571.88