Finding the Third Proportional to 162,504 and 259,496

Step by Step Solution

1. Step 1: Write the proportion equation
   162,504 : 259,496 = 259,496 : x
2. Step 2: Convert to fraction form
   162,504/259,496 = 259,496/x
3. Step 3: Cross multiply
   162,504x = 259,496 × 259,496
4. Step 4: Simplify right side
   162,504x = 67,338,174,016
5. Step 5: Solve for x
   x = 67,338,174,016/162,504
6. Step 6: Final answer
   x = 414,378.56