Finding the Third Proportional to 76,168 and 113,802

Step by Step Solution

1. Step 1: Write the proportion equation
   76,168 : 113,802 = 113,802 : x
2. Step 2: Convert to fraction form
   76,168/113,802 = 113,802/x
3. Step 3: Cross multiply
   76,168x = 113,802 × 113,802
4. Step 4: Simplify right side
   76,168x = 12,950,895,204
5. Step 5: Solve for x
   x = 12,950,895,204/76,168
6. Step 6: Final answer
   x = 170,030.66