Finding the Third Proportional to 321.50 and 464.25

Step by Step Solution

1. Step 1: Write the proportion equation
   321.50 : 464.25 = 464.25 : x
2. Step 2: Convert to fraction form
   321.50/464.25 = 464.25/x
3. Step 3: Cross multiply
   321.50x = 464.25 × 464.25
4. Step 4: Simplify right side
   321.50x = 215,528.06
5. Step 5: Solve for x
   x = 215,528.06/321.50
6. Step 6: Final answer
   x = 670.38