Finding the Third Proportional to 83,382 and 182,568

Step by Step Solution

1. Step 1: Write the proportion equation
   83,382 : 182,568 = 182,568 : x
2. Step 2: Convert to fraction form
   83,382/182,568 = 182,568/x
3. Step 3: Cross multiply
   83,382x = 182,568 × 182,568
4. Step 4: Simplify right side
   83,382x = 33,331,074,624
5. Step 5: Solve for x
   x = 33,331,074,624/83,382
6. Step 6: Final answer
   x = 399,739.45