Finding the Third Proportional to 105,861 and 164,622

Step by Step Solution

1. Step 1: Write the proportion equation
   105,861 : 164,622 = 164,622 : x
2. Step 2: Convert to fraction form
   105,861/164,622 = 164,622/x
3. Step 3: Cross multiply
   105,861x = 164,622 × 164,622
4. Step 4: Simplify right side
   105,861x = 27,100,402,884
5. Step 5: Solve for x
   x = 27,100,402,884/105,861
6. Step 6: Final answer
   x = 255,999.88