Finding the Third Proportional to 105,855 and 164,085

Step by Step Solution

1. Step 1: Write the proportion equation
   105,855 : 164,085 = 164,085 : x
2. Step 2: Convert to fraction form
   105,855/164,085 = 164,085/x
3. Step 3: Cross multiply
   105,855x = 164,085 × 164,085
4. Step 4: Simplify right side
   105,855x = 26,923,887,225
5. Step 5: Solve for x
   x = 26,923,887,225/105,855
6. Step 6: Final answer
   x = 254,346.86