Finding the Third Proportional to 380,216 and 823,162

Step by Step Solution

1. Step 1: Write the proportion equation
   380,216 : 823,162 = 823,162 : x
2. Step 2: Convert to fraction form
   380,216/823,162 = 823,162/x
3. Step 3: Cross multiply
   380,216x = 823,162 × 823,162
4. Step 4: Simplify right side
   380,216x = 677,595,678,244
5. Step 5: Solve for x
   x = 677,595,678,244/380,216
6. Step 6: Final answer
   x = 1,782,133.52