Finding the Third Proportional to 51,778.50 and 113,248.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,778.50 : 113,248.50 = 113,248.50 : x
2. Step 2: Convert to fraction form
   51,778.50/113,248.50 = 113,248.50/x
3. Step 3: Cross multiply
   51,778.50x = 113,248.50 × 113,248.50
4. Step 4: Simplify right side
   51,778.50x = 12,825,222,752.25
5. Step 5: Solve for x
   x = 12,825,222,752.25/51,778.50
6. Step 6: Final answer
   x = 247,693.98