Finding the Third Proportional to 65,853 and 144,198

Step by Step Solution

1. Step 1: Write the proportion equation
   65,853 : 144,198 = 144,198 : x
2. Step 2: Convert to fraction form
   65,853/144,198 = 144,198/x
3. Step 3: Cross multiply
   65,853x = 144,198 × 144,198
4. Step 4: Simplify right side
   65,853x = 20,793,063,204
5. Step 5: Solve for x
   x = 20,793,063,204/65,853
6. Step 6: Final answer
   x = 315,749.67