Finding the Third Proportional to 105,570 and 158,493

Step by Step Solution

1. Step 1: Write the proportion equation
   105,570 : 158,493 = 158,493 : x
2. Step 2: Convert to fraction form
   105,570/158,493 = 158,493/x
3. Step 3: Cross multiply
   105,570x = 158,493 × 158,493
4. Step 4: Simplify right side
   105,570x = 25,120,031,049
5. Step 5: Solve for x
   x = 25,120,031,049/105,570
6. Step 6: Final answer
   x = 237,946.68