Finding the Third Proportional to 65,685 and 144,492

Step by Step Solution

1. Step 1: Write the proportion equation
   65,685 : 144,492 = 144,492 : x
2. Step 2: Convert to fraction form
   65,685/144,492 = 144,492/x
3. Step 3: Cross multiply
   65,685x = 144,492 × 144,492
4. Step 4: Simplify right side
   65,685x = 20,877,938,064
5. Step 5: Solve for x
   x = 20,877,938,064/65,685
6. Step 6: Final answer
   x = 317,849.40