Finding the Third Proportional to 222.13 and 404.88

Step by Step Solution

1. Step 1: Write the proportion equation
   222.13 : 404.88 = 404.88 : x
2. Step 2: Convert to fraction form
   222.13/404.88 = 404.88/x
3. Step 3: Cross multiply
   222.13x = 404.88 × 404.88
4. Step 4: Simplify right side
   222.13x = 163,923.77
5. Step 5: Solve for x
   x = 163,923.77/222.13
6. Step 6: Final answer
   x = 737.98