Finding the Third Proportional to 106,482 and 165,105

Step by Step Solution

1. Step 1: Write the proportion equation
   106,482 : 165,105 = 165,105 : x
2. Step 2: Convert to fraction form
   106,482/165,105 = 165,105/x
3. Step 3: Cross multiply
   106,482x = 165,105 × 165,105
4. Step 4: Simplify right side
   106,482x = 27,259,661,025
5. Step 5: Solve for x
   x = 27,259,661,025/106,482
6. Step 6: Final answer
   x = 256,002.53