Finding the Third Proportional to 314.50 and 582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314.50 : 582.50 = 582.50 : x
2. Step 2: Convert to fraction form
   314.50/582.50 = 582.50/x
3. Step 3: Cross multiply
   314.50x = 582.50 × 582.50
4. Step 4: Simplify right side
   314.50x = 339,306.25
5. Step 5: Solve for x
   x = 339,306.25/314.50
6. Step 6: Final answer
   x = 1,078.88