Finding the Third Proportional to 401.25 and 654.75

Step by Step Solution

1. Step 1: Write the proportion equation
   401.25 : 654.75 = 654.75 : x
2. Step 2: Convert to fraction form
   401.25/654.75 = 654.75/x
3. Step 3: Cross multiply
   401.25x = 654.75 × 654.75
4. Step 4: Simplify right side
   401.25x = 428,697.56
5. Step 5: Solve for x
   x = 428,697.56/401.25
6. Step 6: Final answer
   x = 1,068.41