Finding the Third Proportional to 109,588 and 165,012

Step by Step Solution

1. Step 1: Write the proportion equation
   109,588 : 165,012 = 165,012 : x
2. Step 2: Convert to fraction form
   109,588/165,012 = 165,012/x
3. Step 3: Cross multiply
   109,588x = 165,012 × 165,012
4. Step 4: Simplify right side
   109,588x = 27,228,960,144
5. Step 5: Solve for x
   x = 27,228,960,144/109,588
6. Step 6: Final answer
   x = 248,466.62