Finding the Third Proportional to 79,728 and 174,016

Step by Step Solution

1. Step 1: Write the proportion equation
   79,728 : 174,016 = 174,016 : x
2. Step 2: Convert to fraction form
   79,728/174,016 = 174,016/x
3. Step 3: Cross multiply
   79,728x = 174,016 × 174,016
4. Step 4: Simplify right side
   79,728x = 30,281,568,256
5. Step 5: Solve for x
   x = 30,281,568,256/79,728
6. Step 6: Final answer
   x = 379,810.96