Finding the Third Proportional to 76,998 and 113,004

Step by Step Solution

1. Step 1: Write the proportion equation
   76,998 : 113,004 = 113,004 : x
2. Step 2: Convert to fraction form
   76,998/113,004 = 113,004/x
3. Step 3: Cross multiply
   76,998x = 113,004 × 113,004
4. Step 4: Simplify right side
   76,998x = 12,769,904,016
5. Step 5: Solve for x
   x = 12,769,904,016/76,998
6. Step 6: Final answer
   x = 165,847.22