Finding the Third Proportional to 300,654 and 647,820

Step by Step Solution

1. Step 1: Write the proportion equation
   300,654 : 647,820 = 647,820 : x
2. Step 2: Convert to fraction form
   300,654/647,820 = 647,820/x
3. Step 3: Cross multiply
   300,654x = 647,820 × 647,820
4. Step 4: Simplify right side
   300,654x = 419,670,752,400
5. Step 5: Solve for x
   x = 419,670,752,400/300,654
6. Step 6: Final answer
   x = 1,395,859.53