Finding the Third Proportional to 320 and 385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320 : 385.50 = 385.50 : x
2. Step 2: Convert to fraction form
   320/385.50 = 385.50/x
3. Step 3: Cross multiply
   320x = 385.50 × 385.50
4. Step 4: Simplify right side
   320x = 148,610.25
5. Step 5: Solve for x
   x = 148,610.25/320
6. Step 6: Final answer
   x = 464.41