Finding the Third Proportional to 163.88 and 222.69

Step by Step Solution

1. Step 1: Write the proportion equation
   163.88 : 222.69 = 222.69 : x
2. Step 2: Convert to fraction form
   163.88/222.69 = 222.69/x
3. Step 3: Cross multiply
   163.88x = 222.69 × 222.69
4. Step 4: Simplify right side
   163.88x = 49,589.72
5. Step 5: Solve for x
   x = 49,589.72/163.88
6. Step 6: Final answer
   x = 302.61