Finding the Third Proportional to 406,970 and 825,016

Step by Step Solution

1. Step 1: Write the proportion equation
   406,970 : 825,016 = 825,016 : x
2. Step 2: Convert to fraction form
   406,970/825,016 = 825,016/x
3. Step 3: Cross multiply
   406,970x = 825,016 × 825,016
4. Step 4: Simplify right side
   406,970x = 680,651,400,256
5. Step 5: Solve for x
   x = 680,651,400,256/406,970
6. Step 6: Final answer
   x = 1,672,485.44