Finding the Third Proportional to 65,802 and 144,099

Step by Step Solution

1. Step 1: Write the proportion equation
   65,802 : 144,099 = 144,099 : x
2. Step 2: Convert to fraction form
   65,802/144,099 = 144,099/x
3. Step 3: Cross multiply
   65,802x = 144,099 × 144,099
4. Step 4: Simplify right side
   65,802x = 20,764,521,801
5. Step 5: Solve for x
   x = 20,764,521,801/65,802
6. Step 6: Final answer
   x = 315,560.65