Finding the Third Proportional to 314.50 and 457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314.50 : 457.50 = 457.50 : x
2. Step 2: Convert to fraction form
   314.50/457.50 = 457.50/x
3. Step 3: Cross multiply
   314.50x = 457.50 × 457.50
4. Step 4: Simplify right side
   314.50x = 209,306.25
5. Step 5: Solve for x
   x = 209,306.25/314.50
6. Step 6: Final answer
   x = 665.52