Finding the Third Proportional to 256,680 and 562,960

Step by Step Solution

1. Step 1: Write the proportion equation
   256,680 : 562,960 = 562,960 : x
2. Step 2: Convert to fraction form
   256,680/562,960 = 562,960/x
3. Step 3: Cross multiply
   256,680x = 562,960 × 562,960
4. Step 4: Simplify right side
   256,680x = 316,923,961,600
5. Step 5: Solve for x
   x = 316,923,961,600/256,680
6. Step 6: Final answer
   x = 1,234,704.54