Finding the Third Proportional to 166.50 and 222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   166.50 : 222.75 = 222.75 : x
2. Step 2: Convert to fraction form
   166.50/222.75 = 222.75/x
3. Step 3: Cross multiply
   166.50x = 222.75 × 222.75
4. Step 4: Simplify right side
   166.50x = 49,617.56
5. Step 5: Solve for x
   x = 49,617.56/166.50
6. Step 6: Final answer
   x = 298.00