Finding the Third Proportional to 51,157 and 111,802

Step by Step Solution

1. Step 1: Write the proportion equation
   51,157 : 111,802 = 111,802 : x
2. Step 2: Convert to fraction form
   51,157/111,802 = 111,802/x
3. Step 3: Cross multiply
   51,157x = 111,802 × 111,802
4. Step 4: Simplify right side
   51,157x = 12,499,687,204
5. Step 5: Solve for x
   x = 12,499,687,204/51,157
6. Step 6: Final answer
   x = 244,339.72