Finding the Third Proportional to 51,744 and 111,412

Step by Step Solution

1. Step 1: Write the proportion equation
   51,744 : 111,412 = 111,412 : x
2. Step 2: Convert to fraction form
   51,744/111,412 = 111,412/x
3. Step 3: Cross multiply
   51,744x = 111,412 × 111,412
4. Step 4: Simplify right side
   51,744x = 12,412,633,744
5. Step 5: Solve for x
   x = 12,412,633,744/51,744
6. Step 6: Final answer
   x = 239,885.47