Finding the Third Proportional to 166,476 and 260,870

Step by Step Solution

1. Step 1: Write the proportion equation
   166,476 : 260,870 = 260,870 : x
2. Step 2: Convert to fraction form
   166,476/260,870 = 260,870/x
3. Step 3: Cross multiply
   166,476x = 260,870 × 260,870
4. Step 4: Simplify right side
   166,476x = 68,053,156,900
5. Step 5: Solve for x
   x = 68,053,156,900/166,476
6. Step 6: Final answer
   x = 408,786.59