Finding the Third Proportional to 95.16 and 205.22

Step by Step Solution

1. Step 1: Write the proportion equation
   95.16 : 205.22 = 205.22 : x
2. Step 2: Convert to fraction form
   95.16/205.22 = 205.22/x
3. Step 3: Cross multiply
   95.16x = 205.22 × 205.22
4. Step 4: Simplify right side
   95.16x = 42,114.74
5. Step 5: Solve for x
   x = 42,114.74/95.16
6. Step 6: Final answer
   x = 442.59