Finding the Third Proportional to 111,348 and 172,206

Step by Step Solution

1. Step 1: Write the proportion equation
   111,348 : 172,206 = 172,206 : x
2. Step 2: Convert to fraction form
   111,348/172,206 = 172,206/x
3. Step 3: Cross multiply
   111,348x = 172,206 × 172,206
4. Step 4: Simplify right side
   111,348x = 29,654,906,436
5. Step 5: Solve for x
   x = 29,654,906,436/111,348
6. Step 6: Final answer
   x = 266,326.35