Finding the Third Proportional to 584,304 and 902,256

Step by Step Solution

1. Step 1: Write the proportion equation
   584,304 : 902,256 = 902,256 : x
2. Step 2: Convert to fraction form
   584,304/902,256 = 902,256/x
3. Step 3: Cross multiply
   584,304x = 902,256 × 902,256
4. Step 4: Simplify right side
   584,304x = 814,065,889,536
5. Step 5: Solve for x
   x = 814,065,889,536/584,304
6. Step 6: Final answer
   x = 1,393,223.20