Finding the Third Proportional to 65,838 and 144,165

Step by Step Solution

1. Step 1: Write the proportion equation
   65,838 : 144,165 = 144,165 : x
2. Step 2: Convert to fraction form
   65,838/144,165 = 144,165/x
3. Step 3: Cross multiply
   65,838x = 144,165 × 144,165
4. Step 4: Simplify right side
   65,838x = 20,783,547,225
5. Step 5: Solve for x
   x = 20,783,547,225/65,838
6. Step 6: Final answer
   x = 315,677.07