Finding the Third Proportional to 111,204 and 172,449

Step by Step Solution

1. Step 1: Write the proportion equation
   111,204 : 172,449 = 172,449 : x
2. Step 2: Convert to fraction form
   111,204/172,449 = 172,449/x
3. Step 3: Cross multiply
   111,204x = 172,449 × 172,449
4. Step 4: Simplify right side
   111,204x = 29,738,657,601
5. Step 5: Solve for x
   x = 29,738,657,601/111,204
6. Step 6: Final answer
   x = 267,424.35