Finding the Third Proportional to 110,462 and 172,801

Step by Step Solution

1. Step 1: Write the proportion equation
   110,462 : 172,801 = 172,801 : x
2. Step 2: Convert to fraction form
   110,462/172,801 = 172,801/x
3. Step 3: Cross multiply
   110,462x = 172,801 × 172,801
4. Step 4: Simplify right side
   110,462x = 29,860,185,601
5. Step 5: Solve for x
   x = 29,860,185,601/110,462
6. Step 6: Final answer
   x = 270,320.89