Finding the Third Proportional to 414.65 and 587.72

Step by Step Solution

1. Step 1: Write the proportion equation
   414.65 : 587.72 = 587.72 : x
2. Step 2: Convert to fraction form
   414.65/587.72 = 587.72/x
3. Step 3: Cross multiply
   414.65x = 587.72 × 587.72
4. Step 4: Simplify right side
   414.65x = 345,420.22
5. Step 5: Solve for x
   x = 345,420.22/414.65
6. Step 6: Final answer
   x = 833.04