Finding the Third Proportional to 451.31 and 814.03

Step by Step Solution

1. Step 1: Write the proportion equation
   451.31 : 814.03 = 814.03 : x
2. Step 2: Convert to fraction form
   451.31/814.03 = 814.03/x
3. Step 3: Cross multiply
   451.31x = 814.03 × 814.03
4. Step 4: Simplify right side
   451.31x = 662,646.88
5. Step 5: Solve for x
   x = 662,646.88/451.31
6. Step 6: Final answer
   x = 1,468.27