Finding the Third Proportional to 69,568 and 152,256

Step by Step Solution

1. Step 1: Write the proportion equation
   69,568 : 152,256 = 152,256 : x
2. Step 2: Convert to fraction form
   69,568/152,256 = 152,256/x
3. Step 3: Cross multiply
   69,568x = 152,256 × 152,256
4. Step 4: Simplify right side
   69,568x = 23,181,889,536
5. Step 5: Solve for x
   x = 23,181,889,536/69,568
6. Step 6: Final answer
   x = 333,226.33