Finding the Third Proportional to 51,759 and 111,446

Step by Step Solution

1. Step 1: Write the proportion equation
   51,759 : 111,446 = 111,446 : x
2. Step 2: Convert to fraction form
   51,759/111,446 = 111,446/x
3. Step 3: Cross multiply
   51,759x = 111,446 × 111,446
4. Step 4: Simplify right side
   51,759x = 12,420,210,916
5. Step 5: Solve for x
   x = 12,420,210,916/51,759
6. Step 6: Final answer
   x = 239,962.34