Finding the Third Proportional to 454.31 and 613.03

Step by Step Solution

1. Step 1: Write the proportion equation
   454.31 : 613.03 = 613.03 : x
2. Step 2: Convert to fraction form
   454.31/613.03 = 613.03/x
3. Step 3: Cross multiply
   454.31x = 613.03 × 613.03
4. Step 4: Simplify right side
   454.31x = 375,807.31
5. Step 5: Solve for x
   x = 375,807.31/454.31
6. Step 6: Final answer
   x = 827.20