Finding the Third Proportional to 172,193 and 271,494

Step by Step Solution

1. Step 1: Write the proportion equation
   172,193 : 271,494 = 271,494 : x
2. Step 2: Convert to fraction form
   172,193/271,494 = 271,494/x
3. Step 3: Cross multiply
   172,193x = 271,494 × 271,494
4. Step 4: Simplify right side
   172,193x = 73,708,992,036
5. Step 5: Solve for x
   x = 73,708,992,036/172,193
6. Step 6: Final answer
   x = 428,060.33