Finding the Third Proportional to 41,123 and 88,648

Step by Step Solution

1. Step 1: Write the proportion equation
   41,123 : 88,648 = 88,648 : x
2. Step 2: Convert to fraction form
   41,123/88,648 = 88,648/x
3. Step 3: Cross multiply
   41,123x = 88,648 × 88,648
4. Step 4: Simplify right side
   41,123x = 7,858,467,904
5. Step 5: Solve for x
   x = 7,858,467,904/41,123
6. Step 6: Final answer
   x = 191,096.66