Finding the Third Proportional to 89,728 and 140,770

Step by Step Solution

1. Step 1: Write the proportion equation
   89,728 : 140,770 = 140,770 : x
2. Step 2: Convert to fraction form
   89,728/140,770 = 140,770/x
3. Step 3: Cross multiply
   89,728x = 140,770 × 140,770
4. Step 4: Simplify right side
   89,728x = 19,816,192,900
5. Step 5: Solve for x
   x = 19,816,192,900/89,728
6. Step 6: Final answer
   x = 220,847.37