Finding the Third Proportional to 279.25 and 409.38

Step by Step Solution

1. Step 1: Write the proportion equation
   279.25 : 409.38 = 409.38 : x
2. Step 2: Convert to fraction form
   279.25/409.38 = 409.38/x
3. Step 3: Cross multiply
   279.25x = 409.38 × 409.38
4. Step 4: Simplify right side
   279.25x = 167,587.89
5. Step 5: Solve for x
   x = 167,587.89/279.25
6. Step 6: Final answer
   x = 600.14