Finding the Third Proportional to 51,713 and 111,342

Step by Step Solution

1. Step 1: Write the proportion equation
   51,713 : 111,342 = 111,342 : x
2. Step 2: Convert to fraction form
   51,713/111,342 = 111,342/x
3. Step 3: Cross multiply
   51,713x = 111,342 × 111,342
4. Step 4: Simplify right side
   51,713x = 12,397,040,964
5. Step 5: Solve for x
   x = 12,397,040,964/51,713
6. Step 6: Final answer
   x = 239,727.75