Finding the Third Proportional to 51,589 and 113,016

Step by Step Solution

1. Step 1: Write the proportion equation
   51,589 : 113,016 = 113,016 : x
2. Step 2: Convert to fraction form
   51,589/113,016 = 113,016/x
3. Step 3: Cross multiply
   51,589x = 113,016 × 113,016
4. Step 4: Simplify right side
   51,589x = 12,772,616,256
5. Step 5: Solve for x
   x = 12,772,616,256/51,589
6. Step 6: Final answer
   x = 247,584.10