Finding the Third Proportional to 46,741 and 101,018

Step by Step Solution

1. Step 1: Write the proportion equation
   46,741 : 101,018 = 101,018 : x
2. Step 2: Convert to fraction form
   46,741/101,018 = 101,018/x
3. Step 3: Cross multiply
   46,741x = 101,018 × 101,018
4. Step 4: Simplify right side
   46,741x = 10,204,636,324
5. Step 5: Solve for x
   x = 10,204,636,324/46,741
6. Step 6: Final answer
   x = 218,323.02