Finding the Third Proportional to 51,861 and 113,762

Step by Step Solution

1. Step 1: Write the proportion equation
   51,861 : 113,762 = 113,762 : x
2. Step 2: Convert to fraction form
   51,861/113,762 = 113,762/x
3. Step 3: Cross multiply
   51,861x = 113,762 × 113,762
4. Step 4: Simplify right side
   51,861x = 12,941,792,644
5. Step 5: Solve for x
   x = 12,941,792,644/51,861
6. Step 6: Final answer
   x = 249,547.69