Finding the Third Proportional to 300,666 and 647,844

Step by Step Solution

1. Step 1: Write the proportion equation
   300,666 : 647,844 = 647,844 : x
2. Step 2: Convert to fraction form
   300,666/647,844 = 647,844/x
3. Step 3: Cross multiply
   300,666x = 647,844 × 647,844
4. Step 4: Simplify right side
   300,666x = 419,701,848,336
5. Step 5: Solve for x
   x = 419,701,848,336/300,666
6. Step 6: Final answer
   x = 1,395,907.25