Finding the Third Proportional to 76,728 and 113,040

Step by Step Solution

1. Step 1: Write the proportion equation
   76,728 : 113,040 = 113,040 : x
2. Step 2: Convert to fraction form
   76,728/113,040 = 113,040/x
3. Step 3: Cross multiply
   76,728x = 113,040 × 113,040
4. Step 4: Simplify right side
   76,728x = 12,778,041,600
5. Step 5: Solve for x
   x = 12,778,041,600/76,728
6. Step 6: Final answer
   x = 166,536.88