Finding the Third Proportional to 51,742.50 and 113,171.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,742.50 : 113,171.25 = 113,171.25 : x
2. Step 2: Convert to fraction form
   51,742.50/113,171.25 = 113,171.25/x
3. Step 3: Cross multiply
   51,742.50x = 113,171.25 × 113,171.25
4. Step 4: Simplify right side
   51,742.50x = 12,807,731,826.56
5. Step 5: Solve for x
   x = 12,807,731,826.56/51,742.50
6. Step 6: Final answer
   x = 247,528.28