Finding the Third Proportional to 51,780 and 111,348

Step by Step Solution

1. Step 1: Write the proportion equation
   51,780 : 111,348 = 111,348 : x
2. Step 2: Convert to fraction form
   51,780/111,348 = 111,348/x
3. Step 3: Cross multiply
   51,780x = 111,348 × 111,348
4. Step 4: Simplify right side
   51,780x = 12,398,377,104
5. Step 5: Solve for x
   x = 12,398,377,104/51,780
6. Step 6: Final answer
   x = 239,443.36