Finding the Third Proportional to 111,891 and 172,863

Step by Step Solution

1. Step 1: Write the proportion equation
   111,891 : 172,863 = 172,863 : x
2. Step 2: Convert to fraction form
   111,891/172,863 = 172,863/x
3. Step 3: Cross multiply
   111,891x = 172,863 × 172,863
4. Step 4: Simplify right side
   111,891x = 29,881,616,769
5. Step 5: Solve for x
   x = 29,881,616,769/111,891
6. Step 6: Final answer
   x = 267,060.06