Finding the Third Proportional to 79,846 and 173,870

Step by Step Solution

1. Step 1: Write the proportion equation
   79,846 : 173,870 = 173,870 : x
2. Step 2: Convert to fraction form
   79,846/173,870 = 173,870/x
3. Step 3: Cross multiply
   79,846x = 173,870 × 173,870
4. Step 4: Simplify right side
   79,846x = 30,230,776,900
5. Step 5: Solve for x
   x = 30,230,776,900/79,846
6. Step 6: Final answer
   x = 378,613.54