Finding the Third Proportional to 105,864 and 164,099

Step by Step Solution

1. Step 1: Write the proportion equation
   105,864 : 164,099 = 164,099 : x
2. Step 2: Convert to fraction form
   105,864/164,099 = 164,099/x
3. Step 3: Cross multiply
   105,864x = 164,099 × 164,099
4. Step 4: Simplify right side
   105,864x = 26,928,481,801
5. Step 5: Solve for x
   x = 26,928,481,801/105,864
6. Step 6: Final answer
   x = 254,368.64