Finding the Third Proportional to 79,072 and 173,524

Step by Step Solution

1. Step 1: Write the proportion equation
   79,072 : 173,524 = 173,524 : x
2. Step 2: Convert to fraction form
   79,072/173,524 = 173,524/x
3. Step 3: Cross multiply
   79,072x = 173,524 × 173,524
4. Step 4: Simplify right side
   79,072x = 30,110,578,576
5. Step 5: Solve for x
   x = 30,110,578,576/79,072
6. Step 6: Final answer
   x = 380,799.51