Finding the Third Proportional to 301.50 and 654.88

Step by Step Solution

1. Step 1: Write the proportion equation
   301.50 : 654.88 = 654.88 : x
2. Step 2: Convert to fraction form
   301.50/654.88 = 654.88/x
3. Step 3: Cross multiply
   301.50x = 654.88 × 654.88
4. Step 4: Simplify right side
   301.50x = 428,861.27
5. Step 5: Solve for x
   x = 428,861.27/301.50
6. Step 6: Final answer
   x = 1,422.43