Finding the Third Proportional to 110,857 and 172,004

Step by Step Solution

1. Step 1: Write the proportion equation
   110,857 : 172,004 = 172,004 : x
2. Step 2: Convert to fraction form
   110,857/172,004 = 172,004/x
3. Step 3: Cross multiply
   110,857x = 172,004 × 172,004
4. Step 4: Simplify right side
   110,857x = 29,585,376,016
5. Step 5: Solve for x
   x = 29,585,376,016/110,857
6. Step 6: Final answer
   x = 266,878.74