Finding the Third Proportional to 51,251 and 111,478

Step by Step Solution

1. Step 1: Write the proportion equation
   51,251 : 111,478 = 111,478 : x
2. Step 2: Convert to fraction form
   51,251/111,478 = 111,478/x
3. Step 3: Cross multiply
   51,251x = 111,478 × 111,478
4. Step 4: Simplify right side
   51,251x = 12,427,344,484
5. Step 5: Solve for x
   x = 12,427,344,484/51,251
6. Step 6: Final answer
   x = 242,480.04