Finding the Third Proportional to 88,144 and 125,648

Step by Step Solution

1. Step 1: Write the proportion equation
   88,144 : 125,648 = 125,648 : x
2. Step 2: Convert to fraction form
   88,144/125,648 = 125,648/x
3. Step 3: Cross multiply
   88,144x = 125,648 × 125,648
4. Step 4: Simplify right side
   88,144x = 15,787,419,904
5. Step 5: Solve for x
   x = 15,787,419,904/88,144
6. Step 6: Final answer
   x = 179,109.41