Finding the Third Proportional to 51,542 and 111,831

Step by Step Solution

1. Step 1: Write the proportion equation
   51,542 : 111,831 = 111,831 : x
2. Step 2: Convert to fraction form
   51,542/111,831 = 111,831/x
3. Step 3: Cross multiply
   51,542x = 111,831 × 111,831
4. Step 4: Simplify right side
   51,542x = 12,506,172,561
5. Step 5: Solve for x
   x = 12,506,172,561/51,542
6. Step 6: Final answer
   x = 242,640.42