Finding the Third Proportional to 41,816 and 101,134

Step by Step Solution

1. Step 1: Write the proportion equation
   41,816 : 101,134 = 101,134 : x
2. Step 2: Convert to fraction form
   41,816/101,134 = 101,134/x
3. Step 3: Cross multiply
   41,816x = 101,134 × 101,134
4. Step 4: Simplify right side
   41,816x = 10,228,085,956
5. Step 5: Solve for x
   x = 10,228,085,956/41,816
6. Step 6: Final answer
   x = 244,597.43