Finding the Third Proportional to 46,361 and 101,469

Step by Step Solution

1. Step 1: Write the proportion equation
   46,361 : 101,469 = 101,469 : x
2. Step 2: Convert to fraction form
   46,361/101,469 = 101,469/x
3. Step 3: Cross multiply
   46,361x = 101,469 × 101,469
4. Step 4: Simplify right side
   46,361x = 10,295,957,961
5. Step 5: Solve for x
   x = 10,295,957,961/46,361
6. Step 6: Final answer
   x = 222,082.31