Finding the Third Proportional to 301.31 and 378.56

Step by Step Solution

1. Step 1: Write the proportion equation
   301.31 : 378.56 = 378.56 : x
2. Step 2: Convert to fraction form
   301.31/378.56 = 378.56/x
3. Step 3: Cross multiply
   301.31x = 378.56 × 378.56
4. Step 4: Simplify right side
   301.31x = 143,309.57
5. Step 5: Solve for x
   x = 143,309.57/301.31
6. Step 6: Final answer
   x = 475.62