Finding the Third Proportional to 51,747 and 113,180

Step by Step Solution

1. Step 1: Write the proportion equation
   51,747 : 113,180 = 113,180 : x
2. Step 2: Convert to fraction form
   51,747/113,180 = 113,180/x
3. Step 3: Cross multiply
   51,747x = 113,180 × 113,180
4. Step 4: Simplify right side
   51,747x = 12,809,712,400
5. Step 5: Solve for x
   x = 12,809,712,400/51,747
6. Step 6: Final answer
   x = 247,545.02