Finding the Third Proportional to 51,757 and 111,442

Step by Step Solution

1. Step 1: Write the proportion equation
   51,757 : 111,442 = 111,442 : x
2. Step 2: Convert to fraction form
   51,757/111,442 = 111,442/x
3. Step 3: Cross multiply
   51,757x = 111,442 × 111,442
4. Step 4: Simplify right side
   51,757x = 12,419,319,364
5. Step 5: Solve for x
   x = 12,419,319,364/51,757
6. Step 6: Final answer
   x = 239,954.39