Finding the Third Proportional to 95.38 and 205.56

Step by Step Solution

1. Step 1: Write the proportion equation
   95.38 : 205.56 = 205.56 : x
2. Step 2: Convert to fraction form
   95.38/205.56 = 205.56/x
3. Step 3: Cross multiply
   95.38x = 205.56 × 205.56
4. Step 4: Simplify right side
   95.38x = 42,255.94
5. Step 5: Solve for x
   x = 42,255.94/95.38
6. Step 6: Final answer
   x = 443.05