Finding the Third Proportional to 111,867 and 172,827

Step by Step Solution

1. Step 1: Write the proportion equation
   111,867 : 172,827 = 172,827 : x
2. Step 2: Convert to fraction form
   111,867/172,827 = 172,827/x
3. Step 3: Cross multiply
   111,867x = 172,827 × 172,827
4. Step 4: Simplify right side
   111,867x = 29,869,171,929
5. Step 5: Solve for x
   x = 29,869,171,929/111,867
6. Step 6: Final answer
   x = 267,006.10