Finding the Third Proportional to 209.25 and 457.31

Step by Step Solution

1. Step 1: Write the proportion equation
   209.25 : 457.31 = 457.31 : x
2. Step 2: Convert to fraction form
   209.25/457.31 = 457.31/x
3. Step 3: Cross multiply
   209.25x = 457.31 × 457.31
4. Step 4: Simplify right side
   209.25x = 209,134.72
5. Step 5: Solve for x
   x = 209,134.72/209.25
6. Step 6: Final answer
   x = 999.45