Finding the Third Proportional to 111,326 and 172,401

Step by Step Solution

1. Step 1: Write the proportion equation
   111,326 : 172,401 = 172,401 : x
2. Step 2: Convert to fraction form
   111,326/172,401 = 172,401/x
3. Step 3: Cross multiply
   111,326x = 172,401 × 172,401
4. Step 4: Simplify right side
   111,326x = 29,722,104,801
5. Step 5: Solve for x
   x = 29,722,104,801/111,326
6. Step 6: Final answer
   x = 266,982.60