Finding the Third Proportional to 486.38 and 549.38

Step by Step Solution

1. Step 1: Write the proportion equation
   486.38 : 549.38 = 549.38 : x
2. Step 2: Convert to fraction form
   486.38/549.38 = 549.38/x
3. Step 3: Cross multiply
   486.38x = 549.38 × 549.38
4. Step 4: Simplify right side
   486.38x = 301,812.89
5. Step 5: Solve for x
   x = 301,812.89/486.38
6. Step 6: Final answer
   x = 620.54