Finding the Third Proportional to 294,570 and 646,488

Step by Step Solution

1. Step 1: Write the proportion equation
   294,570 : 646,488 = 646,488 : x
2. Step 2: Convert to fraction form
   294,570/646,488 = 646,488/x
3. Step 3: Cross multiply
   294,570x = 646,488 × 646,488
4. Step 4: Simplify right side
   294,570x = 417,946,734,144
5. Step 5: Solve for x
   x = 417,946,734,144/294,570
6. Step 6: Final answer
   x = 1,418,836.73