Finding the Third Proportional to 95.34 and 205.41

Step by Step Solution

1. Step 1: Write the proportion equation
   95.34 : 205.41 = 205.41 : x
2. Step 2: Convert to fraction form
   95.34/205.41 = 205.41/x
3. Step 3: Cross multiply
   95.34x = 205.41 × 205.41
4. Step 4: Simplify right side
   95.34x = 42,191.73
5. Step 5: Solve for x
   x = 42,191.73/95.34
6. Step 6: Final answer
   x = 442.52