Finding the Third Proportional to 278.71 and 384.43

Step by Step Solution

1. Step 1: Write the proportion equation
   278.71 : 384.43 = 384.43 : x
2. Step 2: Convert to fraction form
   278.71/384.43 = 384.43/x
3. Step 3: Cross multiply
   278.71x = 384.43 × 384.43
4. Step 4: Simplify right side
   278.71x = 147,789.19
5. Step 5: Solve for x
   x = 147,789.19/278.71
6. Step 6: Final answer
   x = 530.25