Finding the Third Proportional to 208.83 and 457.52

Step by Step Solution

1. Step 1: Write the proportion equation
   208.83 : 457.52 = 457.52 : x
2. Step 2: Convert to fraction form
   208.83/457.52 = 457.52/x
3. Step 3: Cross multiply
   208.83x = 457.52 × 457.52
4. Step 4: Simplify right side
   208.83x = 209,327.70
5. Step 5: Solve for x
   x = 209,327.70/208.83
6. Step 6: Final answer
   x = 1,002.39