Finding the Third Proportional to 111,093 and 172,067

Step by Step Solution

1. Step 1: Write the proportion equation
   111,093 : 172,067 = 172,067 : x
2. Step 2: Convert to fraction form
   111,093/172,067 = 172,067/x
3. Step 3: Cross multiply
   111,093x = 172,067 × 172,067
4. Step 4: Simplify right side
   111,093x = 29,607,052,489
5. Step 5: Solve for x
   x = 29,607,052,489/111,093
6. Step 6: Final answer
   x = 266,506.91