Finding the Third Proportional to 51,580 and 113,040

Step by Step Solution

1. Step 1: Write the proportion equation
   51,580 : 113,040 = 113,040 : x
2. Step 2: Convert to fraction form
   51,580/113,040 = 113,040/x
3. Step 3: Cross multiply
   51,580x = 113,040 × 113,040
4. Step 4: Simplify right side
   51,580x = 12,778,041,600
5. Step 5: Solve for x
   x = 12,778,041,600/51,580
6. Step 6: Final answer
   x = 247,732.49