Finding the Third Proportional to 337.78 and 454.03

Step by Step Solution

1. Step 1: Write the proportion equation
   337.78 : 454.03 = 454.03 : x
2. Step 2: Convert to fraction form
   337.78/454.03 = 454.03/x
3. Step 3: Cross multiply
   337.78x = 454.03 × 454.03
4. Step 4: Simplify right side
   337.78x = 206,144.38
5. Step 5: Solve for x
   x = 206,144.38/337.78
6. Step 6: Final answer
   x = 610.29