Finding the Third Proportional to 51,192 and 111,663

Step by Step Solution

1. Step 1: Write the proportion equation
   51,192 : 111,663 = 111,663 : x
2. Step 2: Convert to fraction form
   51,192/111,663 = 111,663/x
3. Step 3: Cross multiply
   51,192x = 111,663 × 111,663
4. Step 4: Simplify right side
   51,192x = 12,468,625,569
5. Step 5: Solve for x
   x = 12,468,625,569/51,192
6. Step 6: Final answer
   x = 243,565.90