Finding the Third Proportional to 836,983 and 1,783,466

Step by Step Solution

1. Step 1: Write the proportion equation
   836,983 : 1,783,466 = 1,783,466 : x
2. Step 2: Convert to fraction form
   836,983/1,783,466 = 1,783,466/x
3. Step 3: Cross multiply
   836,983x = 1,783,466 × 1,783,466
4. Step 4: Simplify right side
   836,983x = 3,180,750,973,156
5. Step 5: Solve for x
   x = 3,180,750,973,156/836,983
6. Step 6: Final answer
   x = 3,800,257.56