Finding the Third Proportional to 95.40 and 199.34

Step by Step Solution

1. Step 1: Write the proportion equation
   95.40 : 199.34 = 199.34 : x
2. Step 2: Convert to fraction form
   95.40/199.34 = 199.34/x
3. Step 3: Cross multiply
   95.40x = 199.34 × 199.34
4. Step 4: Simplify right side
   95.40x = 39,734.82
5. Step 5: Solve for x
   x = 39,734.82/95.40
6. Step 6: Final answer
   x = 416.52