Finding the Third Proportional to 387,918 and 822,016

Step by Step Solution

1. Step 1: Write the proportion equation
   387,918 : 822,016 = 822,016 : x
2. Step 2: Convert to fraction form
   387,918/822,016 = 822,016/x
3. Step 3: Cross multiply
   387,918x = 822,016 × 822,016
4. Step 4: Simplify right side
   387,918x = 675,710,304,256
5. Step 5: Solve for x
   x = 675,710,304,256/387,918
6. Step 6: Final answer
   x = 1,741,889.53