Finding the Third Proportional to 108,901 and 164,993

Step by Step Solution

1. Step 1: Write the proportion equation
   108,901 : 164,993 = 164,993 : x
2. Step 2: Convert to fraction form
   108,901/164,993 = 164,993/x
3. Step 3: Cross multiply
   108,901x = 164,993 × 164,993
4. Step 4: Simplify right side
   108,901x = 27,222,690,049
5. Step 5: Solve for x
   x = 27,222,690,049/108,901
6. Step 6: Final answer
   x = 249,976.49