Finding the Third Proportional to 108,662 and 171,741

Step by Step Solution

1. Step 1: Write the proportion equation
   108,662 : 171,741 = 171,741 : x
2. Step 2: Convert to fraction form
   108,662/171,741 = 171,741/x
3. Step 3: Cross multiply
   108,662x = 171,741 × 171,741
4. Step 4: Simplify right side
   108,662x = 29,494,971,081
5. Step 5: Solve for x
   x = 29,494,971,081/108,662
6. Step 6: Final answer
   x = 271,437.77