Finding the Third Proportional to 105,048 and 157,648

Step by Step Solution

1. Step 1: Write the proportion equation
   105,048 : 157,648 = 157,648 : x
2. Step 2: Convert to fraction form
   105,048/157,648 = 157,648/x
3. Step 3: Cross multiply
   105,048x = 157,648 × 157,648
4. Step 4: Simplify right side
   105,048x = 24,852,891,904
5. Step 5: Solve for x
   x = 24,852,891,904/105,048
6. Step 6: Final answer
   x = 236,586.05