Finding the Third Proportional to 111,382 and 172,348

Step by Step Solution

1. Step 1: Write the proportion equation
   111,382 : 172,348 = 172,348 : x
2. Step 2: Convert to fraction form
   111,382/172,348 = 172,348/x
3. Step 3: Cross multiply
   111,382x = 172,348 × 172,348
4. Step 4: Simplify right side
   111,382x = 29,703,833,104
5. Step 5: Solve for x
   x = 29,703,833,104/111,382
6. Step 6: Final answer
   x = 266,684.32