Finding the Third Proportional to 65,852 and 144,196

Step by Step Solution

1. Step 1: Write the proportion equation
   65,852 : 144,196 = 144,196 : x
2. Step 2: Convert to fraction form
   65,852/144,196 = 144,196/x
3. Step 3: Cross multiply
   65,852x = 144,196 × 144,196
4. Step 4: Simplify right side
   65,852x = 20,792,486,416
5. Step 5: Solve for x
   x = 20,792,486,416/65,852
6. Step 6: Final answer
   x = 315,745.71