Finding the Third Proportional to 288,848 and 446,384

Step by Step Solution

1. Step 1: Write the proportion equation
   288,848 : 446,384 = 446,384 : x
2. Step 2: Convert to fraction form
   288,848/446,384 = 446,384/x
3. Step 3: Cross multiply
   288,848x = 446,384 × 446,384
4. Step 4: Simplify right side
   288,848x = 199,258,675,456
5. Step 5: Solve for x
   x = 199,258,675,456/288,848
6. Step 6: Final answer
   x = 689,839.21