Finding the Third Proportional to 320 and 510.38

Step by Step Solution

1. Step 1: Write the proportion equation
   320 : 510.38 = 510.38 : x
2. Step 2: Convert to fraction form
   320/510.38 = 510.38/x
3. Step 3: Cross multiply
   320x = 510.38 × 510.38
4. Step 4: Simplify right side
   320x = 260,482.64
5. Step 5: Solve for x
   x = 260,482.64/320
6. Step 6: Final answer
   x = 814.01