Finding the Third Proportional to 51,856 and 113,756

Step by Step Solution

1. Step 1: Write the proportion equation
   51,856 : 113,756 = 113,756 : x
2. Step 2: Convert to fraction form
   51,856/113,756 = 113,756/x
3. Step 3: Cross multiply
   51,856x = 113,756 × 113,756
4. Step 4: Simplify right side
   51,856x = 12,940,427,536
5. Step 5: Solve for x
   x = 12,940,427,536/51,856
6. Step 6: Final answer
   x = 249,545.42