Finding the Third Proportional to 380,144 and 823,028

Step by Step Solution

1. Step 1: Write the proportion equation
   380,144 : 823,028 = 823,028 : x
2. Step 2: Convert to fraction form
   380,144/823,028 = 823,028/x
3. Step 3: Cross multiply
   380,144x = 823,028 × 823,028
4. Step 4: Simplify right side
   380,144x = 677,375,088,784
5. Step 5: Solve for x
   x = 677,375,088,784/380,144
6. Step 6: Final answer
   x = 1,781,890.78