Finding the Third Proportional to 281,642 and 626,256

Step by Step Solution

1. Step 1: Write the proportion equation
   281,642 : 626,256 = 626,256 : x
2. Step 2: Convert to fraction form
   281,642/626,256 = 626,256/x
3. Step 3: Cross multiply
   281,642x = 626,256 × 626,256
4. Step 4: Simplify right side
   281,642x = 392,196,577,536
5. Step 5: Solve for x
   x = 392,196,577,536/281,642
6. Step 6: Final answer
   x = 1,392,535.83