Finding the Third Proportional to 76,920 and 116,824

Step by Step Solution

1. Step 1: Write the proportion equation
   76,920 : 116,824 = 116,824 : x
2. Step 2: Convert to fraction form
   76,920/116,824 = 116,824/x
3. Step 3: Cross multiply
   76,920x = 116,824 × 116,824
4. Step 4: Simplify right side
   76,920x = 13,647,846,976
5. Step 5: Solve for x
   x = 13,647,846,976/76,920
6. Step 6: Final answer
   x = 177,429.11