Finding the Third Proportional to 278.25 and 585.38

Step by Step Solution

1. Step 1: Write the proportion equation
   278.25 : 585.38 = 585.38 : x
2. Step 2: Convert to fraction form
   278.25/585.38 = 585.38/x
3. Step 3: Cross multiply
   278.25x = 585.38 × 585.38
4. Step 4: Simplify right side
   278.25x = 342,663.89
5. Step 5: Solve for x
   x = 342,663.89/278.25
6. Step 6: Final answer
   x = 1,231.50