Finding the Third Proportional to 53,280 and 111,663

Step by Step Solution

1. Step 1: Write the proportion equation
   53,280 : 111,663 = 111,663 : x
2. Step 2: Convert to fraction form
   53,280/111,663 = 111,663/x
3. Step 3: Cross multiply
   53,280x = 111,663 × 111,663
4. Step 4: Simplify right side
   53,280x = 12,468,625,569
5. Step 5: Solve for x
   x = 12,468,625,569/53,280
6. Step 6: Final answer
   x = 234,020.75