Finding the Third Proportional to 65,802 and 144,105

Step by Step Solution

1. Step 1: Write the proportion equation
   65,802 : 144,105 = 144,105 : x
2. Step 2: Convert to fraction form
   65,802/144,105 = 144,105/x
3. Step 3: Cross multiply
   65,802x = 144,105 × 144,105
4. Step 4: Simplify right side
   65,802x = 20,766,251,025
5. Step 5: Solve for x
   x = 20,766,251,025/65,802
6. Step 6: Final answer
   x = 315,586.93