Finding the Third Proportional to 162,856 and 258,496

Step by Step Solution

1. Step 1: Write the proportion equation
   162,856 : 258,496 = 258,496 : x
2. Step 2: Convert to fraction form
   162,856/258,496 = 258,496/x
3. Step 3: Cross multiply
   162,856x = 258,496 × 258,496
4. Step 4: Simplify right side
   162,856x = 66,820,182,016
5. Step 5: Solve for x
   x = 66,820,182,016/162,856
6. Step 6: Final answer
   x = 410,302.24