Finding the Third Proportional to 411.75 and 674.63

Step by Step Solution

1. Step 1: Write the proportion equation
   411.75 : 674.63 = 674.63 : x
2. Step 2: Convert to fraction form
   411.75/674.63 = 674.63/x
3. Step 3: Cross multiply
   411.75x = 674.63 × 674.63
4. Step 4: Simplify right side
   411.75x = 455,118.89
5. Step 5: Solve for x
   x = 455,118.89/411.75
6. Step 6: Final answer
   x = 1,105.33