Finding the Third Proportional to 79,828 and 173,830

Step by Step Solution

1. Step 1: Write the proportion equation
   79,828 : 173,830 = 173,830 : x
2. Step 2: Convert to fraction form
   79,828/173,830 = 173,830/x
3. Step 3: Cross multiply
   79,828x = 173,830 × 173,830
4. Step 4: Simplify right side
   79,828x = 30,216,868,900
5. Step 5: Solve for x
   x = 30,216,868,900/79,828
6. Step 6: Final answer
   x = 378,524.69