Finding the Third Proportional to 320.25 and 483.38

Step by Step Solution

1. Step 1: Write the proportion equation
   320.25 : 483.38 = 483.38 : x
2. Step 2: Convert to fraction form
   320.25/483.38 = 483.38/x
3. Step 3: Cross multiply
   320.25x = 483.38 × 483.38
4. Step 4: Simplify right side
   320.25x = 233,651.39
5. Step 5: Solve for x
   x = 233,651.39/320.25
6. Step 6: Final answer
   x = 729.59