Finding the Third Proportional to 584.50 and 624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   584.50 : 624.50 = 624.50 : x
2. Step 2: Convert to fraction form
   584.50/624.50 = 624.50/x
3. Step 3: Cross multiply
   584.50x = 624.50 × 624.50
4. Step 4: Simplify right side
   584.50x = 390,000.25
5. Step 5: Solve for x
   x = 390,000.25/584.50
6. Step 6: Final answer
   x = 667.24