Finding the Third Proportional to 321.50 and 676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321.50 : 676.50 = 676.50 : x
2. Step 2: Convert to fraction form
   321.50/676.50 = 676.50/x
3. Step 3: Cross multiply
   321.50x = 676.50 × 676.50
4. Step 4: Simplify right side
   321.50x = 457,652.25
5. Step 5: Solve for x
   x = 457,652.25/321.50
6. Step 6: Final answer
   x = 1,423.49