Finding the Third Proportional to 169,540 and 258,870

Step by Step Solution

1. Step 1: Write the proportion equation
   169,540 : 258,870 = 258,870 : x
2. Step 2: Convert to fraction form
   169,540/258,870 = 258,870/x
3. Step 3: Cross multiply
   169,540x = 258,870 × 258,870
4. Step 4: Simplify right side
   169,540x = 67,013,676,900
5. Step 5: Solve for x
   x = 67,013,676,900/169,540
6. Step 6: Final answer
   x = 395,267.65