Finding the Third Proportional to 222.88 and 321.94

Step by Step Solution

1. Step 1: Write the proportion equation
   222.88 : 321.94 = 321.94 : x
2. Step 2: Convert to fraction form
   222.88/321.94 = 321.94/x
3. Step 3: Cross multiply
   222.88x = 321.94 × 321.94
4. Step 4: Simplify right side
   222.88x = 103,643.75
5. Step 5: Solve for x
   x = 103,643.75/222.88
6. Step 6: Final answer
   x = 465.03