Finding the Third Proportional to 76,996 and 160,040

Step by Step Solution

1. Step 1: Write the proportion equation
   76,996 : 160,040 = 160,040 : x
2. Step 2: Convert to fraction form
   76,996/160,040 = 160,040/x
3. Step 3: Cross multiply
   76,996x = 160,040 × 160,040
4. Step 4: Simplify right side
   76,996x = 25,612,801,600
5. Step 5: Solve for x
   x = 25,612,801,600/76,996
6. Step 6: Final answer
   x = 332,651.07