Finding the Third Proportional to 446,176 and 654,384

Step by Step Solution

1. Step 1: Write the proportion equation
   446,176 : 654,384 = 654,384 : x
2. Step 2: Convert to fraction form
   446,176/654,384 = 654,384/x
3. Step 3: Cross multiply
   446,176x = 654,384 × 654,384
4. Step 4: Simplify right side
   446,176x = 428,218,419,456
5. Step 5: Solve for x
   x = 428,218,419,456/446,176
6. Step 6: Final answer
   x = 959,752.25