Finding the Third Proportional to 384.56 and 723.56

Step by Step Solution

1. Step 1: Write the proportion equation
   384.56 : 723.56 = 723.56 : x
2. Step 2: Convert to fraction form
   384.56/723.56 = 723.56/x
3. Step 3: Cross multiply
   384.56x = 723.56 × 723.56
4. Step 4: Simplify right side
   384.56x = 523,542.69
5. Step 5: Solve for x
   x = 523,542.69/384.56
6. Step 6: Final answer
   x = 1,361.40