Finding the Third Proportional to 320 and 538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320 : 538.50 = 538.50 : x
2. Step 2: Convert to fraction form
   320/538.50 = 538.50/x
3. Step 3: Cross multiply
   320x = 538.50 × 538.50
4. Step 4: Simplify right side
   320x = 289,982.25
5. Step 5: Solve for x
   x = 289,982.25/320
6. Step 6: Final answer
   x = 906.19