Finding the Third Proportional to 51,856.75 and 113,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,856.75 : 113,757.50 = 113,757.50 : x
2. Step 2: Convert to fraction form
   51,856.75/113,757.50 = 113,757.50/x
3. Step 3: Cross multiply
   51,856.75x = 113,757.50 × 113,757.50
4. Step 4: Simplify right side
   51,856.75x = 12,940,768,806.25
5. Step 5: Solve for x
   x = 12,940,768,806.25/51,856.75
6. Step 6: Final answer
   x = 249,548.40