Finding the Third Proportional to 302.38 and 480.56

Step by Step Solution

1. Step 1: Write the proportion equation
   302.38 : 480.56 = 480.56 : x
2. Step 2: Convert to fraction form
   302.38/480.56 = 480.56/x
3. Step 3: Cross multiply
   302.38x = 480.56 × 480.56
4. Step 4: Simplify right side
   302.38x = 230,940.32
5. Step 5: Solve for x
   x = 230,940.32/302.38
6. Step 6: Final answer
   x = 763.75