Finding the Third Proportional to 76,890 and 117,540

Step by Step Solution

1. Step 1: Write the proportion equation
   76,890 : 117,540 = 117,540 : x
2. Step 2: Convert to fraction form
   76,890/117,540 = 117,540/x
3. Step 3: Cross multiply
   76,890x = 117,540 × 117,540
4. Step 4: Simplify right side
   76,890x = 13,815,651,600
5. Step 5: Solve for x
   x = 13,815,651,600/76,890
6. Step 6: Final answer
   x = 179,680.73