Finding the Third Proportional to 79,760 and 172,728

Step by Step Solution

1. Step 1: Write the proportion equation
   79,760 : 172,728 = 172,728 : x
2. Step 2: Convert to fraction form
   79,760/172,728 = 172,728/x
3. Step 3: Cross multiply
   79,760x = 172,728 × 172,728
4. Step 4: Simplify right side
   79,760x = 29,834,961,984
5. Step 5: Solve for x
   x = 29,834,961,984/79,760
6. Step 6: Final answer
   x = 374,059.20