Finding the Third Proportional to 297,002 and 459,570

Step by Step Solution

1. Step 1: Write the proportion equation
   297,002 : 459,570 = 459,570 : x
2. Step 2: Convert to fraction form
   297,002/459,570 = 459,570/x
3. Step 3: Cross multiply
   297,002x = 459,570 × 459,570
4. Step 4: Simplify right side
   297,002x = 211,204,584,900
5. Step 5: Solve for x
   x = 211,204,584,900/297,002
6. Step 6: Final answer
   x = 711,121.76