Finding the Third Proportional to 82,568 and 119,820

Step by Step Solution

1. Step 1: Write the proportion equation
   82,568 : 119,820 = 119,820 : x
2. Step 2: Convert to fraction form
   82,568/119,820 = 119,820/x
3. Step 3: Cross multiply
   82,568x = 119,820 × 119,820
4. Step 4: Simplify right side
   82,568x = 14,356,832,400
5. Step 5: Solve for x
   x = 14,356,832,400/82,568
6. Step 6: Final answer
   x = 173,878.89