Finding the Third Proportional to 105,858 and 164,619

Step by Step Solution

1. Step 1: Write the proportion equation
   105,858 : 164,619 = 164,619 : x
2. Step 2: Convert to fraction form
   105,858/164,619 = 164,619/x
3. Step 3: Cross multiply
   105,858x = 164,619 × 164,619
4. Step 4: Simplify right side
   105,858x = 27,099,415,161
5. Step 5: Solve for x
   x = 27,099,415,161/105,858
6. Step 6: Final answer
   x = 255,997.80