Finding the Third Proportional to 293,975 and 644,002

Step by Step Solution

1. Step 1: Write the proportion equation
   293,975 : 644,002 = 644,002 : x
2. Step 2: Convert to fraction form
   293,975/644,002 = 644,002/x
3. Step 3: Cross multiply
   293,975x = 644,002 × 644,002
4. Step 4: Simplify right side
   293,975x = 414,738,576,004
5. Step 5: Solve for x
   x = 414,738,576,004/293,975
6. Step 6: Final answer
   x = 1,410,795.39