Finding the Third Proportional to 40.92 and 90.42

Step by Step Solution

1. Step 1: Write the proportion equation
   40.92 : 90.42 = 90.42 : x
2. Step 2: Convert to fraction form
   40.92/90.42 = 90.42/x
3. Step 3: Cross multiply
   40.92x = 90.42 × 90.42
4. Step 4: Simplify right side
   40.92x = 8,176.12
5. Step 5: Solve for x
   x = 8,176.12/40.92
6. Step 6: Final answer
   x = 199.80