Finding the Third Proportional to 65,792 and 144,706

Step by Step Solution

1. Step 1: Write the proportion equation
   65,792 : 144,706 = 144,706 : x
2. Step 2: Convert to fraction form
   65,792/144,706 = 144,706/x
3. Step 3: Cross multiply
   65,792x = 144,706 × 144,706
4. Step 4: Simplify right side
   65,792x = 20,939,826,436
5. Step 5: Solve for x
   x = 20,939,826,436/65,792
6. Step 6: Final answer
   x = 318,273.14