Finding the Third Proportional to 233,568 and 356,184

Step by Step Solution

1. Step 1: Write the proportion equation
   233,568 : 356,184 = 356,184 : x
2. Step 2: Convert to fraction form
   233,568/356,184 = 356,184/x
3. Step 3: Cross multiply
   233,568x = 356,184 × 356,184
4. Step 4: Simplify right side
   233,568x = 126,867,041,856
5. Step 5: Solve for x
   x = 126,867,041,856/233,568
6. Step 6: Final answer
   x = 543,169.62