Finding the Third Proportional to 166.78 and 222.61

Step by Step Solution

1. Step 1: Write the proportion equation
   166.78 : 222.61 = 222.61 : x
2. Step 2: Convert to fraction form
   166.78/222.61 = 222.61/x
3. Step 3: Cross multiply
   166.78x = 222.61 × 222.61
4. Step 4: Simplify right side
   166.78x = 49,554.93
5. Step 5: Solve for x
   x = 49,554.93/166.78
6. Step 6: Final answer
   x = 297.13