Finding the Third Proportional to 111,382 and 172,661

Step by Step Solution

1. Step 1: Write the proportion equation
   111,382 : 172,661 = 172,661 : x
2. Step 2: Convert to fraction form
   111,382/172,661 = 172,661/x
3. Step 3: Cross multiply
   111,382x = 172,661 × 172,661
4. Step 4: Simplify right side
   111,382x = 29,811,820,921
5. Step 5: Solve for x
   x = 29,811,820,921/111,382
6. Step 6: Final answer
   x = 267,653.85