Finding the Third Proportional to 418.22 and 914.27

Step by Step Solution

1. Step 1: Write the proportion equation
   418.22 : 914.27 = 914.27 : x
2. Step 2: Convert to fraction form
   418.22/914.27 = 914.27/x
3. Step 3: Cross multiply
   418.22x = 914.27 × 914.27
4. Step 4: Simplify right side
   418.22x = 835,895.92
5. Step 5: Solve for x
   x = 835,895.92/418.22
6. Step 6: Final answer
   x = 1,998.71