Finding the Third Proportional to 80,027 and 172,456

Step by Step Solution

1. Step 1: Write the proportion equation
   80,027 : 172,456 = 172,456 : x
2. Step 2: Convert to fraction form
   80,027/172,456 = 172,456/x
3. Step 3: Cross multiply
   80,027x = 172,456 × 172,456
4. Step 4: Simplify right side
   80,027x = 29,741,071,936
5. Step 5: Solve for x
   x = 29,741,071,936/80,027
6. Step 6: Final answer
   x = 371,637.97