Finding the Third Proportional to 823,109 and 1,760,320

Step by Step Solution

1. Step 1: Write the proportion equation
   823,109 : 1,760,320 = 1,760,320 : x
2. Step 2: Convert to fraction form
   823,109/1,760,320 = 1,760,320/x
3. Step 3: Cross multiply
   823,109x = 1,760,320 × 1,760,320
4. Step 4: Simplify right side
   823,109x = 3,098,726,502,400
5. Step 5: Solve for x
   x = 3,098,726,502,400/823,109
6. Step 6: Final answer
   x = 3,764,661.18