Finding the Third Proportional to 105,852 and 164,081

Step by Step Solution

1. Step 1: Write the proportion equation
   105,852 : 164,081 = 164,081 : x
2. Step 2: Convert to fraction form
   105,852/164,081 = 164,081/x
3. Step 3: Cross multiply
   105,852x = 164,081 × 164,081
4. Step 4: Simplify right side
   105,852x = 26,922,574,561
5. Step 5: Solve for x
   x = 26,922,574,561/105,852
6. Step 6: Final answer
   x = 254,341.67