Finding the Third Proportional to 166.13 and 223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166.13 : 223.50 = 223.50 : x
2. Step 2: Convert to fraction form
   166.13/223.50 = 223.50/x
3. Step 3: Cross multiply
   166.13x = 223.50 × 223.50
4. Step 4: Simplify right side
   166.13x = 49,952.25
5. Step 5: Solve for x
   x = 49,952.25/166.13
6. Step 6: Final answer
   x = 300.69