Finding the Third Proportional to 321.50 and 388.38

Step by Step Solution

1. Step 1: Write the proportion equation
   321.50 : 388.38 = 388.38 : x
2. Step 2: Convert to fraction form
   321.50/388.38 = 388.38/x
3. Step 3: Cross multiply
   321.50x = 388.38 × 388.38
4. Step 4: Simplify right side
   321.50x = 150,835.14
5. Step 5: Solve for x
   x = 150,835.14/321.50
6. Step 6: Final answer
   x = 469.16