Finding the Third Proportional to 296,648 and 636,496

Step by Step Solution

1. Step 1: Write the proportion equation
   296,648 : 636,496 = 636,496 : x
2. Step 2: Convert to fraction form
   296,648/636,496 = 636,496/x
3. Step 3: Cross multiply
   296,648x = 636,496 × 636,496
4. Step 4: Simplify right side
   296,648x = 405,127,158,016
5. Step 5: Solve for x
   x = 405,127,158,016/296,648
6. Step 6: Final answer
   x = 1,365,683.09