Finding the Third Proportional to 79,072 and 171,256

Step by Step Solution

1. Step 1: Write the proportion equation
   79,072 : 171,256 = 171,256 : x
2. Step 2: Convert to fraction form
   79,072/171,256 = 171,256/x
3. Step 3: Cross multiply
   79,072x = 171,256 × 171,256
4. Step 4: Simplify right side
   79,072x = 29,328,617,536
5. Step 5: Solve for x
   x = 29,328,617,536/79,072
6. Step 6: Final answer
   x = 370,910.28