Finding the Third Proportional to 300,657 and 647,826

Step by Step Solution

1. Step 1: Write the proportion equation
   300,657 : 647,826 = 647,826 : x
2. Step 2: Convert to fraction form
   300,657/647,826 = 647,826/x
3. Step 3: Cross multiply
   300,657x = 647,826 × 647,826
4. Step 4: Simplify right side
   300,657x = 419,678,526,276
5. Step 5: Solve for x
   x = 419,678,526,276/300,657
6. Step 6: Final answer
   x = 1,395,871.46