Finding the Third Proportional to 285.75 and 404.86

Step by Step Solution

1. Step 1: Write the proportion equation
   285.75 : 404.86 = 404.86 : x
2. Step 2: Convert to fraction form
   285.75/404.86 = 404.86/x
3. Step 3: Cross multiply
   285.75x = 404.86 × 404.86
4. Step 4: Simplify right side
   285.75x = 163,911.11
5. Step 5: Solve for x
   x = 163,911.11/285.75
6. Step 6: Final answer
   x = 573.62