Finding the Third Proportional to 333.56 and 523.31

Step by Step Solution

1. Step 1: Write the proportion equation
   333.56 : 523.31 = 523.31 : x
2. Step 2: Convert to fraction form
   333.56/523.31 = 523.31/x
3. Step 3: Cross multiply
   333.56x = 523.31 × 523.31
4. Step 4: Simplify right side
   333.56x = 273,855.97
5. Step 5: Solve for x
   x = 273,855.97/333.56
6. Step 6: Final answer
   x = 821.00