Finding the Third Proportional to 95.38 and 218.69

Step by Step Solution

1. Step 1: Write the proportion equation
   95.38 : 218.69 = 218.69 : x
2. Step 2: Convert to fraction form
   95.38/218.69 = 218.69/x
3. Step 3: Cross multiply
   95.38x = 218.69 × 218.69
4. Step 4: Simplify right side
   95.38x = 47,824.22
5. Step 5: Solve for x
   x = 47,824.22/95.38
6. Step 6: Final answer
   x = 501.43