Finding the Third Proportional to 105,929 and 165,144

Step by Step Solution

1. Step 1: Write the proportion equation
   105,929 : 165,144 = 165,144 : x
2. Step 2: Convert to fraction form
   105,929/165,144 = 165,144/x
3. Step 3: Cross multiply
   105,929x = 165,144 × 165,144
4. Step 4: Simplify right side
   105,929x = 27,272,540,736
5. Step 5: Solve for x
   x = 27,272,540,736/105,929
6. Step 6: Final answer
   x = 257,460.57