Finding the Third Proportional to 65,882 and 144,885

Step by Step Solution

1. Step 1: Write the proportion equation
   65,882 : 144,885 = 144,885 : x
2. Step 2: Convert to fraction form
   65,882/144,885 = 144,885/x
3. Step 3: Cross multiply
   65,882x = 144,885 × 144,885
4. Step 4: Simplify right side
   65,882x = 20,991,663,225
5. Step 5: Solve for x
   x = 20,991,663,225/65,882
6. Step 6: Final answer
   x = 318,625.17