Finding the Third Proportional to 51,863 and 113,766

Step by Step Solution

1. Step 1: Write the proportion equation
   51,863 : 113,766 = 113,766 : x
2. Step 2: Convert to fraction form
   51,863/113,766 = 113,766/x
3. Step 3: Cross multiply
   51,863x = 113,766 × 113,766
4. Step 4: Simplify right side
   51,863x = 12,942,702,756
5. Step 5: Solve for x
   x = 12,942,702,756/51,863
6. Step 6: Final answer
   x = 249,555.61