Finding the Third Proportional to 105,782 and 164,055

Step by Step Solution

1. Step 1: Write the proportion equation
   105,782 : 164,055 = 164,055 : x
2. Step 2: Convert to fraction form
   105,782/164,055 = 164,055/x
3. Step 3: Cross multiply
   105,782x = 164,055 × 164,055
4. Step 4: Simplify right side
   105,782x = 26,914,043,025
5. Step 5: Solve for x
   x = 26,914,043,025/105,782
6. Step 6: Final answer
   x = 254,429.33