Finding the Third Proportional to 65,777 and 144,676

Step by Step Solution

1. Step 1: Write the proportion equation
   65,777 : 144,676 = 144,676 : x
2. Step 2: Convert to fraction form
   65,777/144,676 = 144,676/x
3. Step 3: Cross multiply
   65,777x = 144,676 × 144,676
4. Step 4: Simplify right side
   65,777x = 20,931,144,976
5. Step 5: Solve for x
   x = 20,931,144,976/65,777
6. Step 6: Final answer
   x = 318,213.74