Finding the Third Proportional to 380,142 and 823,022

Step by Step Solution

1. Step 1: Write the proportion equation
   380,142 : 823,022 = 823,022 : x
2. Step 2: Convert to fraction form
   380,142/823,022 = 823,022/x
3. Step 3: Cross multiply
   380,142x = 823,022 × 823,022
4. Step 4: Simplify right side
   380,142x = 677,365,212,484
5. Step 5: Solve for x
   x = 677,365,212,484/380,142
6. Step 6: Final answer
   x = 1,781,874.17