Finding the Third Proportional to 65,891 and 144,328

Step by Step Solution

1. Step 1: Write the proportion equation
   65,891 : 144,328 = 144,328 : x
2. Step 2: Convert to fraction form
   65,891/144,328 = 144,328/x
3. Step 3: Cross multiply
   65,891x = 144,328 × 144,328
4. Step 4: Simplify right side
   65,891x = 20,830,571,584
5. Step 5: Solve for x
   x = 20,830,571,584/65,891
6. Step 6: Final answer
   x = 316,136.83