Finding the Third Proportional to 384,638 and 843,084

Step by Step Solution

1. Step 1: Write the proportion equation
   384,638 : 843,084 = 843,084 : x
2. Step 2: Convert to fraction form
   384,638/843,084 = 843,084/x
3. Step 3: Cross multiply
   384,638x = 843,084 × 843,084
4. Step 4: Simplify right side
   384,638x = 710,790,631,056
5. Step 5: Solve for x
   x = 710,790,631,056/384,638
6. Step 6: Final answer
   x = 1,847,946.98