Finding the Third Proportional to 51,854 and 113,644

Step by Step Solution

1. Step 1: Write the proportion equation
   51,854 : 113,644 = 113,644 : x
2. Step 2: Convert to fraction form
   51,854/113,644 = 113,644/x
3. Step 3: Cross multiply
   51,854x = 113,644 × 113,644
4. Step 4: Simplify right side
   51,854x = 12,914,958,736
5. Step 5: Solve for x
   x = 12,914,958,736/51,854
6. Step 6: Final answer
   x = 249,063.89