Finding the Third Proportional to 79,830 and 173,834

Step by Step Solution

1. Step 1: Write the proportion equation
   79,830 : 173,834 = 173,834 : x
2. Step 2: Convert to fraction form
   79,830/173,834 = 173,834/x
3. Step 3: Cross multiply
   79,830x = 173,834 × 173,834
4. Step 4: Simplify right side
   79,830x = 30,218,259,556
5. Step 5: Solve for x
   x = 30,218,259,556/79,830
6. Step 6: Final answer
   x = 378,532.63