Finding the Third Proportional to 109,424 and 165,270

Step by Step Solution

1. Step 1: Write the proportion equation
   109,424 : 165,270 = 165,270 : x
2. Step 2: Convert to fraction form
   109,424/165,270 = 165,270/x
3. Step 3: Cross multiply
   109,424x = 165,270 × 165,270
4. Step 4: Simplify right side
   109,424x = 27,314,172,900
5. Step 5: Solve for x
   x = 27,314,172,900/109,424
6. Step 6: Final answer
   x = 249,617.75