Finding the Third Proportional to 401,644 and 836,584

Step by Step Solution

1. Step 1: Write the proportion equation
   401,644 : 836,584 = 836,584 : x
2. Step 2: Convert to fraction form
   401,644/836,584 = 836,584/x
3. Step 3: Cross multiply
   401,644x = 836,584 × 836,584
4. Step 4: Simplify right side
   401,644x = 699,872,789,056
5. Step 5: Solve for x
   x = 699,872,789,056/401,644
6. Step 6: Final answer
   x = 1,742,520.21