Finding the Third Proportional to 382,680 and 835,308

Step by Step Solution

1. Step 1: Write the proportion equation
   382,680 : 835,308 = 835,308 : x
2. Step 2: Convert to fraction form
   382,680/835,308 = 835,308/x
3. Step 3: Cross multiply
   382,680x = 835,308 × 835,308
4. Step 4: Simplify right side
   382,680x = 697,739,454,864
5. Step 5: Solve for x
   x = 697,739,454,864/382,680
6. Step 6: Final answer
   x = 1,823,297.42