Finding the Third Proportional to 111,628 and 172,356

Step by Step Solution

1. Step 1: Write the proportion equation
   111,628 : 172,356 = 172,356 : x
2. Step 2: Convert to fraction form
   111,628/172,356 = 172,356/x
3. Step 3: Cross multiply
   111,628x = 172,356 × 172,356
4. Step 4: Simplify right side
   111,628x = 29,706,590,736
5. Step 5: Solve for x
   x = 29,706,590,736/111,628
6. Step 6: Final answer
   x = 266,121.32