Finding the Third Proportional to 76,900 and 113,568

Step by Step Solution

1. Step 1: Write the proportion equation
   76,900 : 113,568 = 113,568 : x
2. Step 2: Convert to fraction form
   76,900/113,568 = 113,568/x
3. Step 3: Cross multiply
   76,900x = 113,568 × 113,568
4. Step 4: Simplify right side
   76,900x = 12,897,690,624
5. Step 5: Solve for x
   x = 12,897,690,624/76,900
6. Step 6: Final answer
   x = 167,720.29