Finding the Third Proportional to 79,540 and 171,540

Step by Step Solution

1. Step 1: Write the proportion equation
   79,540 : 171,540 = 171,540 : x
2. Step 2: Convert to fraction form
   79,540/171,540 = 171,540/x
3. Step 3: Cross multiply
   79,540x = 171,540 × 171,540
4. Step 4: Simplify right side
   79,540x = 29,425,971,600
5. Step 5: Solve for x
   x = 29,425,971,600/79,540
6. Step 6: Final answer
   x = 369,951.87