Finding the Third Proportional to 380,866 and 836,456

Step by Step Solution

1. Step 1: Write the proportion equation
   380,866 : 836,456 = 836,456 : x
2. Step 2: Convert to fraction form
   380,866/836,456 = 836,456/x
3. Step 3: Cross multiply
   380,866x = 836,456 × 836,456
4. Step 4: Simplify right side
   380,866x = 699,658,639,936
5. Step 5: Solve for x
   x = 699,658,639,936/380,866
6. Step 6: Final answer
   x = 1,837,020.47