Finding the Third Proportional to 383,624 and 843,384

Step by Step Solution

1. Step 1: Write the proportion equation
   383,624 : 843,384 = 843,384 : x
2. Step 2: Convert to fraction form
   383,624/843,384 = 843,384/x
3. Step 3: Cross multiply
   383,624x = 843,384 × 843,384
4. Step 4: Simplify right side
   383,624x = 711,296,571,456
5. Step 5: Solve for x
   x = 711,296,571,456/383,624
6. Step 6: Final answer
   x = 1,854,150.34