Finding the Third Proportional to 348.56 and 399.56

Step by Step Solution

1. Step 1: Write the proportion equation
   348.56 : 399.56 = 399.56 : x
2. Step 2: Convert to fraction form
   348.56/399.56 = 399.56/x
3. Step 3: Cross multiply
   348.56x = 399.56 × 399.56
4. Step 4: Simplify right side
   348.56x = 159,650.19
5. Step 5: Solve for x
   x = 159,650.19/348.56
6. Step 6: Final answer
   x = 458.02