Finding the Third Proportional to 51,589 and 113,020

Step by Step Solution

1. Step 1: Write the proportion equation
   51,589 : 113,020 = 113,020 : x
2. Step 2: Convert to fraction form
   51,589/113,020 = 113,020/x
3. Step 3: Cross multiply
   51,589x = 113,020 × 113,020
4. Step 4: Simplify right side
   51,589x = 12,773,520,400
5. Step 5: Solve for x
   x = 12,773,520,400/51,589
6. Step 6: Final answer
   x = 247,601.63