Finding the Third Proportional to 111,866 and 172,824

Step by Step Solution

1. Step 1: Write the proportion equation
   111,866 : 172,824 = 172,824 : x
2. Step 2: Convert to fraction form
   111,866/172,824 = 172,824/x
3. Step 3: Cross multiply
   111,866x = 172,824 × 172,824
4. Step 4: Simplify right side
   111,866x = 29,868,134,976
5. Step 5: Solve for x
   x = 29,868,134,976/111,866
6. Step 6: Final answer
   x = 266,999.22