Finding the Third Proportional to 92,280 and 142,569

Step by Step Solution

1. Step 1: Write the proportion equation
   92,280 : 142,569 = 142,569 : x
2. Step 2: Convert to fraction form
   92,280/142,569 = 142,569/x
3. Step 3: Cross multiply
   92,280x = 142,569 × 142,569
4. Step 4: Simplify right side
   92,280x = 20,325,919,761
5. Step 5: Solve for x
   x = 20,325,919,761/92,280
6. Step 6: Final answer
   x = 220,263.54