Finding the Third Proportional to 256,690 and 562,980

Step by Step Solution

1. Step 1: Write the proportion equation
   256,690 : 562,980 = 562,980 : x
2. Step 2: Convert to fraction form
   256,690/562,980 = 562,980/x
3. Step 3: Cross multiply
   256,690x = 562,980 × 562,980
4. Step 4: Simplify right side
   256,690x = 316,946,480,400
5. Step 5: Solve for x
   x = 316,946,480,400/256,690
6. Step 6: Final answer
   x = 1,234,744.17