Finding the Third Proportional to 105,856 and 164,615

Step by Step Solution

1. Step 1: Write the proportion equation
   105,856 : 164,615 = 164,615 : x
2. Step 2: Convert to fraction form
   105,856/164,615 = 164,615/x
3. Step 3: Cross multiply
   105,856x = 164,615 × 164,615
4. Step 4: Simplify right side
   105,856x = 27,098,098,225
5. Step 5: Solve for x
   x = 27,098,098,225/105,856
6. Step 6: Final answer
   x = 255,990.20