Finding the Third Proportional to 406.13 and 863.72

Step by Step Solution

1. Step 1: Write the proportion equation
   406.13 : 863.72 = 863.72 : x
2. Step 2: Convert to fraction form
   406.13/863.72 = 863.72/x
3. Step 3: Cross multiply
   406.13x = 863.72 × 863.72
4. Step 4: Simplify right side
   406.13x = 746,010.08
5. Step 5: Solve for x
   x = 746,010.08/406.13
6. Step 6: Final answer
   x = 1,836.90