Finding the Third Proportional to 111,676 and 172,698

Step by Step Solution

1. Step 1: Write the proportion equation
   111,676 : 172,698 = 172,698 : x
2. Step 2: Convert to fraction form
   111,676/172,698 = 172,698/x
3. Step 3: Cross multiply
   111,676x = 172,698 × 172,698
4. Step 4: Simplify right side
   111,676x = 29,824,599,204
5. Step 5: Solve for x
   x = 29,824,599,204/111,676
6. Step 6: Final answer
   x = 267,063.64