Finding the Third Proportional to 331,872 and 728,256

Step by Step Solution

1. Step 1: Write the proportion equation
   331,872 : 728,256 = 728,256 : x
2. Step 2: Convert to fraction form
   331,872/728,256 = 728,256/x
3. Step 3: Cross multiply
   331,872x = 728,256 × 728,256
4. Step 4: Simplify right side
   331,872x = 530,356,801,536
5. Step 5: Solve for x
   x = 530,356,801,536/331,872
6. Step 6: Final answer
   x = 1,598,076.37