Finding the Third Proportional to 259,870 and 586,951

Step by Step Solution

1. Step 1: Write the proportion equation
   259,870 : 586,951 = 586,951 : x
2. Step 2: Convert to fraction form
   259,870/586,951 = 586,951/x
3. Step 3: Cross multiply
   259,870x = 586,951 × 586,951
4. Step 4: Simplify right side
   259,870x = 344,511,476,401
5. Step 5: Solve for x
   x = 344,511,476,401/259,870
6. Step 6: Final answer
   x = 1,325,706.99