Finding the Third Proportional to 92,280 and 142,509

Step by Step Solution

1. Step 1: Write the proportion equation
   92,280 : 142,509 = 142,509 : x
2. Step 2: Convert to fraction form
   92,280/142,509 = 142,509/x
3. Step 3: Cross multiply
   92,280x = 142,509 × 142,509
4. Step 4: Simplify right side
   92,280x = 20,308,815,081
5. Step 5: Solve for x
   x = 20,308,815,081/92,280
6. Step 6: Final answer
   x = 220,078.19