Finding the Third Proportional to 406,986 and 884,016

Step by Step Solution

1. Step 1: Write the proportion equation
   406,986 : 884,016 = 884,016 : x
2. Step 2: Convert to fraction form
   406,986/884,016 = 884,016/x
3. Step 3: Cross multiply
   406,986x = 884,016 × 884,016
4. Step 4: Simplify right side
   406,986x = 781,484,288,256
5. Step 5: Solve for x
   x = 781,484,288,256/406,986
6. Step 6: Final answer
   x = 1,920,174.87