Finding the Third Proportional to 46,105 and 101,138

Step by Step Solution

1. Step 1: Write the proportion equation
   46,105 : 101,138 = 101,138 : x
2. Step 2: Convert to fraction form
   46,105/101,138 = 101,138/x
3. Step 3: Cross multiply
   46,105x = 101,138 × 101,138
4. Step 4: Simplify right side
   46,105x = 10,228,895,044
5. Step 5: Solve for x
   x = 10,228,895,044/46,105
6. Step 6: Final answer
   x = 221,860.86