Finding the Third Proportional to 82,792 and 179,408

Step by Step Solution

1. Step 1: Write the proportion equation
   82,792 : 179,408 = 179,408 : x
2. Step 2: Convert to fraction form
   82,792/179,408 = 179,408/x
3. Step 3: Cross multiply
   82,792x = 179,408 × 179,408
4. Step 4: Simplify right side
   82,792x = 32,187,230,464
5. Step 5: Solve for x
   x = 32,187,230,464/82,792
6. Step 6: Final answer
   x = 388,772.23