Finding the Third Proportional to 76,568 and 109,612

Step by Step Solution

1. Step 1: Write the proportion equation
   76,568 : 109,612 = 109,612 : x
2. Step 2: Convert to fraction form
   76,568/109,612 = 109,612/x
3. Step 3: Cross multiply
   76,568x = 109,612 × 109,612
4. Step 4: Simplify right side
   76,568x = 12,014,790,544
5. Step 5: Solve for x
   x = 12,014,790,544/76,568
6. Step 6: Final answer
   x = 156,916.60