Finding the Third Proportional to 51,657 and 113,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,657 : 113,140.50 = 113,140.50 : x
2. Step 2: Convert to fraction form
   51,657/113,140.50 = 113,140.50/x
3. Step 3: Cross multiply
   51,657x = 113,140.50 × 113,140.50
4. Step 4: Simplify right side
   51,657x = 12,800,772,740.25
5. Step 5: Solve for x
   x = 12,800,772,740.25/51,657
6. Step 6: Final answer
   x = 247,803.25