Finding the Third Proportional to 89,728 and 140,768

Step by Step Solution

1. Step 1: Write the proportion equation
   89,728 : 140,768 = 140,768 : x
2. Step 2: Convert to fraction form
   89,728/140,768 = 140,768/x
3. Step 3: Cross multiply
   89,728x = 140,768 × 140,768
4. Step 4: Simplify right side
   89,728x = 19,815,629,824
5. Step 5: Solve for x
   x = 19,815,629,824/89,728
6. Step 6: Final answer
   x = 220,841.10