Finding the Third Proportional to 451.50 and 680.25

Step by Step Solution

1. Step 1: Write the proportion equation
   451.50 : 680.25 = 680.25 : x
2. Step 2: Convert to fraction form
   451.50/680.25 = 680.25/x
3. Step 3: Cross multiply
   451.50x = 680.25 × 680.25
4. Step 4: Simplify right side
   451.50x = 462,740.06
5. Step 5: Solve for x
   x = 462,740.06/451.50
6. Step 6: Final answer
   x = 1,024.89