Finding the Third Proportional to 89,736 and 140,782

Step by Step Solution

1. Step 1: Write the proportion equation
   89,736 : 140,782 = 140,782 : x
2. Step 2: Convert to fraction form
   89,736/140,782 = 140,782/x
3. Step 3: Cross multiply
   89,736x = 140,782 × 140,782
4. Step 4: Simplify right side
   89,736x = 19,819,571,524
5. Step 5: Solve for x
   x = 19,819,571,524/89,736
6. Step 6: Final answer
   x = 220,865.33