Finding the Third Proportional to 172,628 and 271,256

Step by Step Solution

1. Step 1: Write the proportion equation
   172,628 : 271,256 = 271,256 : x
2. Step 2: Convert to fraction form
   172,628/271,256 = 271,256/x
3. Step 3: Cross multiply
   172,628x = 271,256 × 271,256
4. Step 4: Simplify right side
   172,628x = 73,579,817,536
5. Step 5: Solve for x
   x = 73,579,817,536/172,628
6. Step 6: Final answer
   x = 426,233.39