Finding the Third Proportional to 384,668 and 837,064

Step by Step Solution

1. Step 1: Write the proportion equation
   384,668 : 837,064 = 837,064 : x
2. Step 2: Convert to fraction form
   384,668/837,064 = 837,064/x
3. Step 3: Cross multiply
   384,668x = 837,064 × 837,064
4. Step 4: Simplify right side
   384,668x = 700,676,140,096
5. Step 5: Solve for x
   x = 700,676,140,096/384,668
6. Step 6: Final answer
   x = 1,821,508.78