Finding the Third Proportional to 76,544 and 111,792

Step by Step Solution

1. Step 1: Write the proportion equation
   76,544 : 111,792 = 111,792 : x
2. Step 2: Convert to fraction form
   76,544/111,792 = 111,792/x
3. Step 3: Cross multiply
   76,544x = 111,792 × 111,792
4. Step 4: Simplify right side
   76,544x = 12,497,451,264
5. Step 5: Solve for x
   x = 12,497,451,264/76,544
6. Step 6: Final answer
   x = 163,271.47