Finding the Third Proportional to 123,568 and 188,814

Step by Step Solution

1. Step 1: Write the proportion equation
   123,568 : 188,814 = 188,814 : x
2. Step 2: Convert to fraction form
   123,568/188,814 = 188,814/x
3. Step 3: Cross multiply
   123,568x = 188,814 × 188,814
4. Step 4: Simplify right side
   123,568x = 35,650,726,596
5. Step 5: Solve for x
   x = 35,650,726,596/123,568
6. Step 6: Final answer
   x = 288,510.99