Finding the Third Proportional to 155,568 and 256,680

Step by Step Solution

1. Step 1: Write the proportion equation
   155,568 : 256,680 = 256,680 : x
2. Step 2: Convert to fraction form
   155,568/256,680 = 256,680/x
3. Step 3: Cross multiply
   155,568x = 256,680 × 256,680
4. Step 4: Simplify right side
   155,568x = 65,884,622,400
5. Step 5: Solve for x
   x = 65,884,622,400/155,568
6. Step 6: Final answer
   x = 423,510.12