Finding the Third Proportional to 199.10 and 401.04

Step by Step Solution

1. Step 1: Write the proportion equation
   199.10 : 401.04 = 401.04 : x
2. Step 2: Convert to fraction form
   199.10/401.04 = 401.04/x
3. Step 3: Cross multiply
   199.10x = 401.04 × 401.04
4. Step 4: Simplify right side
   199.10x = 160,837.03
5. Step 5: Solve for x
   x = 160,837.03/199.10
6. Step 6: Final answer
   x = 807.83