Finding the Third Proportional to 199.27 and 307.83

Step by Step Solution

1. Step 1: Write the proportion equation
   199.27 : 307.83 = 307.83 : x
2. Step 2: Convert to fraction form
   199.27/307.83 = 307.83/x
3. Step 3: Cross multiply
   199.27x = 307.83 × 307.83
4. Step 4: Simplify right side
   199.27x = 94,758.15
5. Step 5: Solve for x
   x = 94,758.15/199.27
6. Step 6: Final answer
   x = 475.54