Finding the Third Proportional to 174,976 and 271,456

Step by Step Solution

1. Step 1: Write the proportion equation
   174,976 : 271,456 = 271,456 : x
2. Step 2: Convert to fraction form
   174,976/271,456 = 271,456/x
3. Step 3: Cross multiply
   174,976x = 271,456 × 271,456
4. Step 4: Simplify right side
   174,976x = 73,688,359,936
5. Step 5: Solve for x
   x = 73,688,359,936/174,976
6. Step 6: Final answer
   x = 421,134.10