Finding the Third Proportional to 109,488 and 169,864

Step by Step Solution

1. Step 1: Write the proportion equation
   109,488 : 169,864 = 169,864 : x
2. Step 2: Convert to fraction form
   109,488/169,864 = 169,864/x
3. Step 3: Cross multiply
   109,488x = 169,864 × 169,864
4. Step 4: Simplify right side
   109,488x = 28,853,778,496
5. Step 5: Solve for x
   x = 28,853,778,496/109,488
6. Step 6: Final answer
   x = 263,533.71