Finding the Third Proportional to 574.78 and 676.03

Step by Step Solution

1. Step 1: Write the proportion equation
   574.78 : 676.03 = 676.03 : x
2. Step 2: Convert to fraction form
   574.78/676.03 = 676.03/x
3. Step 3: Cross multiply
   574.78x = 676.03 × 676.03
4. Step 4: Simplify right side
   574.78x = 457,018.25
5. Step 5: Solve for x
   x = 457,018.25/574.78
6. Step 6: Final answer
   x = 795.12