Finding the Third Proportional to 285.05 and 411.89

Step by Step Solution

1. Step 1: Write the proportion equation
   285.05 : 411.89 = 411.89 : x
2. Step 2: Convert to fraction form
   285.05/411.89 = 411.89/x
3. Step 3: Cross multiply
   285.05x = 411.89 × 411.89
4. Step 4: Simplify right side
   285.05x = 169,653.89
5. Step 5: Solve for x
   x = 169,653.89/285.05
6. Step 6: Final answer
   x = 595.18