Finding the Third Proportional to 105,648 and 157,920

Step by Step Solution

1. Step 1: Write the proportion equation
   105,648 : 157,920 = 157,920 : x
2. Step 2: Convert to fraction form
   105,648/157,920 = 157,920/x
3. Step 3: Cross multiply
   105,648x = 157,920 × 157,920
4. Step 4: Simplify right side
   105,648x = 24,938,726,400
5. Step 5: Solve for x
   x = 24,938,726,400/105,648
6. Step 6: Final answer
   x = 236,054.88