Finding the Third Proportional to 456 and 1,002

Step by Step Solution

1. Step 1: Write the proportion equation
   456 : 1,002 = 1,002 : x
2. Step 2: Convert to fraction form
   456/1,002 = 1,002/x
3. Step 3: Cross multiply
   456x = 1,002 × 1,002
4. Step 4: Simplify right side
   456x = 1,004,004
5. Step 5: Solve for x
   x = 1,004,004/456
6. Step 6: Final answer
   x = 2,201.76