Finding the Third Proportional to 284,032 and 622,384

Step by Step Solution

1. Step 1: Write the proportion equation
   284,032 : 622,384 = 622,384 : x
2. Step 2: Convert to fraction form
   284,032/622,384 = 622,384/x
3. Step 3: Cross multiply
   284,032x = 622,384 × 622,384
4. Step 4: Simplify right side
   284,032x = 387,361,843,456
5. Step 5: Solve for x
   x = 387,361,843,456/284,032
6. Step 6: Final answer
   x = 1,363,796.49