Finding the Third Proportional to 53,524 and 111,296

Step by Step Solution

1. Step 1: Write the proportion equation
   53,524 : 111,296 = 111,296 : x
2. Step 2: Convert to fraction form
   53,524/111,296 = 111,296/x
3. Step 3: Cross multiply
   53,524x = 111,296 × 111,296
4. Step 4: Simplify right side
   53,524x = 12,386,799,616
5. Step 5: Solve for x
   x = 12,386,799,616/53,524
6. Step 6: Final answer
   x = 231,425.15