Finding the Third Proportional to 45,993 and 101,017

Step by Step Solution

1. Step 1: Write the proportion equation
   45,993 : 101,017 = 101,017 : x
2. Step 2: Convert to fraction form
   45,993/101,017 = 101,017/x
3. Step 3: Cross multiply
   45,993x = 101,017 × 101,017
4. Step 4: Simplify right side
   45,993x = 10,204,434,289
5. Step 5: Solve for x
   x = 10,204,434,289/45,993
6. Step 6: Final answer
   x = 221,869.29