Finding the Third Proportional to 200.88 and 404.88

Step by Step Solution

1. Step 1: Write the proportion equation
   200.88 : 404.88 = 404.88 : x
2. Step 2: Convert to fraction form
   200.88/404.88 = 404.88/x
3. Step 3: Cross multiply
   200.88x = 404.88 × 404.88
4. Step 4: Simplify right side
   200.88x = 163,923.77
5. Step 5: Solve for x
   x = 163,923.77/200.88
6. Step 6: Final answer
   x = 816.05