Finding the Third Proportional to 380,144 and 823,026

Step by Step Solution

1. Step 1: Write the proportion equation
   380,144 : 823,026 = 823,026 : x
2. Step 2: Convert to fraction form
   380,144/823,026 = 823,026/x
3. Step 3: Cross multiply
   380,144x = 823,026 × 823,026
4. Step 4: Simplify right side
   380,144x = 677,371,796,676
5. Step 5: Solve for x
   x = 677,371,796,676/380,144
6. Step 6: Final answer
   x = 1,781,882.12