Finding the Third Proportional to 106,779 and 144,792

Step by Step Solution

1. Step 1: Write the proportion equation
   106,779 : 144,792 = 144,792 : x
2. Step 2: Convert to fraction form
   106,779/144,792 = 144,792/x
3. Step 3: Cross multiply
   106,779x = 144,792 × 144,792
4. Step 4: Simplify right side
   106,779x = 20,964,723,264
5. Step 5: Solve for x
   x = 20,964,723,264/106,779
6. Step 6: Final answer
   x = 196,337.51