Finding the Third Proportional to 205.69 and 454.31

Step by Step Solution

1. Step 1: Write the proportion equation
   205.69 : 454.31 = 454.31 : x
2. Step 2: Convert to fraction form
   205.69/454.31 = 454.31/x
3. Step 3: Cross multiply
   205.69x = 454.31 × 454.31
4. Step 4: Simplify right side
   205.69x = 206,399.85
5. Step 5: Solve for x
   x = 206,399.85/205.69
6. Step 6: Final answer
   x = 1,003.46