Finding the Third Proportional to 406,624 and 892,016

Step by Step Solution

1. Step 1: Write the proportion equation
   406,624 : 892,016 = 892,016 : x
2. Step 2: Convert to fraction form
   406,624/892,016 = 892,016/x
3. Step 3: Cross multiply
   406,624x = 892,016 × 892,016
4. Step 4: Simplify right side
   406,624x = 795,692,544,256
5. Step 5: Solve for x
   x = 795,692,544,256/406,624
6. Step 6: Final answer
   x = 1,956,826.32