Finding the Third Proportional to 51,886 and 113,828

Step by Step Solution

1. Step 1: Write the proportion equation
   51,886 : 113,828 = 113,828 : x
2. Step 2: Convert to fraction form
   51,886/113,828 = 113,828/x
3. Step 3: Cross multiply
   51,886x = 113,828 × 113,828
4. Step 4: Simplify right side
   51,886x = 12,956,813,584
5. Step 5: Solve for x
   x = 12,956,813,584/51,886
6. Step 6: Final answer
   x = 249,716.95