Finding the Third Proportional to 256,321 and 562,002

Step by Step Solution

1. Step 1: Write the proportion equation
   256,321 : 562,002 = 562,002 : x
2. Step 2: Convert to fraction form
   256,321/562,002 = 562,002/x
3. Step 3: Cross multiply
   256,321x = 562,002 × 562,002
4. Step 4: Simplify right side
   256,321x = 315,846,248,004
5. Step 5: Solve for x
   x = 315,846,248,004/256,321
6. Step 6: Final answer
   x = 1,232,229.31