Finding the Third Proportional to 140,728 and 298,728

Step by Step Solution

1. Step 1: Write the proportion equation
   140,728 : 298,728 = 298,728 : x
2. Step 2: Convert to fraction form
   140,728/298,728 = 298,728/x
3. Step 3: Cross multiply
   140,728x = 298,728 × 298,728
4. Step 4: Simplify right side
   140,728x = 89,238,417,984
5. Step 5: Solve for x
   x = 89,238,417,984/140,728
6. Step 6: Final answer
   x = 634,119.85