Finding the Third Proportional to 65,792 and 144,672

Step by Step Solution

1. Step 1: Write the proportion equation
   65,792 : 144,672 = 144,672 : x
2. Step 2: Convert to fraction form
   65,792/144,672 = 144,672/x
3. Step 3: Cross multiply
   65,792x = 144,672 × 144,672
4. Step 4: Simplify right side
   65,792x = 20,929,987,584
5. Step 5: Solve for x
   x = 20,929,987,584/65,792
6. Step 6: Final answer
   x = 318,123.60