Finding the Third Proportional to 301.14 and 464.52

Step by Step Solution

1. Step 1: Write the proportion equation
   301.14 : 464.52 = 464.52 : x
2. Step 2: Convert to fraction form
   301.14/464.52 = 464.52/x
3. Step 3: Cross multiply
   301.14x = 464.52 × 464.52
4. Step 4: Simplify right side
   301.14x = 215,782.48
5. Step 5: Solve for x
   x = 215,782.48/301.14
6. Step 6: Final answer
   x = 716.55