Finding the Third Proportional to 451.50 and 610.25

Step by Step Solution

1. Step 1: Write the proportion equation
   451.50 : 610.25 = 610.25 : x
2. Step 2: Convert to fraction form
   451.50/610.25 = 610.25/x
3. Step 3: Cross multiply
   451.50x = 610.25 × 610.25
4. Step 4: Simplify right side
   451.50x = 372,405.06
5. Step 5: Solve for x
   x = 372,405.06/451.50
6. Step 6: Final answer
   x = 824.82