Finding the Third Proportional to 199.75 and 308.56

Step by Step Solution

1. Step 1: Write the proportion equation
   199.75 : 308.56 = 308.56 : x
2. Step 2: Convert to fraction form
   199.75/308.56 = 308.56/x
3. Step 3: Cross multiply
   199.75x = 308.56 × 308.56
4. Step 4: Simplify right side
   199.75x = 95,210.82
5. Step 5: Solve for x
   x = 95,210.82/199.75
6. Step 6: Final answer
   x = 476.65