Finding the Third Proportional to 166.75 and 222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166.75 : 222.50 = 222.50 : x
2. Step 2: Convert to fraction form
   166.75/222.50 = 222.50/x
3. Step 3: Cross multiply
   166.75x = 222.50 × 222.50
4. Step 4: Simplify right side
   166.75x = 49,506.25
5. Step 5: Solve for x
   x = 49,506.25/166.75
6. Step 6: Final answer
   x = 296.89