Finding the Third Proportional to 107,742 and 169,932

Step by Step Solution

1. Step 1: Write the proportion equation
   107,742 : 169,932 = 169,932 : x
2. Step 2: Convert to fraction form
   107,742/169,932 = 169,932/x
3. Step 3: Cross multiply
   107,742x = 169,932 × 169,932
4. Step 4: Simplify right side
   107,742x = 28,876,884,624
5. Step 5: Solve for x
   x = 28,876,884,624/107,742
6. Step 6: Final answer
   x = 268,018.83