Finding the Third Proportional to 406.27 and 870.75

Step by Step Solution

1. Step 1: Write the proportion equation
   406.27 : 870.75 = 870.75 : x
2. Step 2: Convert to fraction form
   406.27/870.75 = 870.75/x
3. Step 3: Cross multiply
   406.27x = 870.75 × 870.75
4. Step 4: Simplify right side
   406.27x = 758,205.56
5. Step 5: Solve for x
   x = 758,205.56/406.27
6. Step 6: Final answer
   x = 1,866.28