Finding the Third Proportional to 208,508 and 457,612

Step by Step Solution

1. Step 1: Write the proportion equation
   208,508 : 457,612 = 457,612 : x
2. Step 2: Convert to fraction form
   208,508/457,612 = 457,612/x
3. Step 3: Cross multiply
   208,508x = 457,612 × 457,612
4. Step 4: Simplify right side
   208,508x = 209,408,742,544
5. Step 5: Solve for x
   x = 209,408,742,544/208,508
6. Step 6: Final answer
   x = 1,004,319.94