Finding the Third Proportional to 76,676 and 117,441

Step by Step Solution

1. Step 1: Write the proportion equation
   76,676 : 117,441 = 117,441 : x
2. Step 2: Convert to fraction form
   76,676/117,441 = 117,441/x
3. Step 3: Cross multiply
   76,676x = 117,441 × 117,441
4. Step 4: Simplify right side
   76,676x = 13,792,388,481
5. Step 5: Solve for x
   x = 13,792,388,481/76,676
6. Step 6: Final answer
   x = 179,878.82