Finding the Third Proportional to 172,632 and 271,264

Step by Step Solution

1. Step 1: Write the proportion equation
   172,632 : 271,264 = 271,264 : x
2. Step 2: Convert to fraction form
   172,632/271,264 = 271,264/x
3. Step 3: Cross multiply
   172,632x = 271,264 × 271,264
4. Step 4: Simplify right side
   172,632x = 73,584,157,696
5. Step 5: Solve for x
   x = 73,584,157,696/172,632
6. Step 6: Final answer
   x = 426,248.65