Finding the Third Proportional to 105,856.50 and 164,617

Step by Step Solution

1. Step 1: Write the proportion equation
   105,856.50 : 164,617 = 164,617 : x
2. Step 2: Convert to fraction form
   105,856.50/164,617 = 164,617/x
3. Step 3: Cross multiply
   105,856.50x = 164,617 × 164,617
4. Step 4: Simplify right side
   105,856.50x = 27,098,756,689
5. Step 5: Solve for x
   x = 27,098,756,689/105,856.50
6. Step 6: Final answer
   x = 255,995.21