Finding the Third Proportional to 105,424 and 159,452

Step by Step Solution

1. Step 1: Write the proportion equation
   105,424 : 159,452 = 159,452 : x
2. Step 2: Convert to fraction form
   105,424/159,452 = 159,452/x
3. Step 3: Cross multiply
   105,424x = 159,452 × 159,452
4. Step 4: Simplify right side
   105,424x = 25,424,940,304
5. Step 5: Solve for x
   x = 25,424,940,304/105,424
6. Step 6: Final answer
   x = 241,168.43