Finding the Third Proportional to 284.50 and 387.56

Step by Step Solution

1. Step 1: Write the proportion equation
   284.50 : 387.56 = 387.56 : x
2. Step 2: Convert to fraction form
   284.50/387.56 = 387.56/x
3. Step 3: Cross multiply
   284.50x = 387.56 × 387.56
4. Step 4: Simplify right side
   284.50x = 150,204.69
5. Step 5: Solve for x
   x = 150,204.69/284.50
6. Step 6: Final answer
   x = 527.96