Finding the Third Proportional to 208,768 and 457,436

Step by Step Solution

1. Step 1: Write the proportion equation
   208,768 : 457,436 = 457,436 : x
2. Step 2: Convert to fraction form
   208,768/457,436 = 457,436/x
3. Step 3: Cross multiply
   208,768x = 457,436 × 457,436
4. Step 4: Simplify right side
   208,768x = 209,247,694,096
5. Step 5: Solve for x
   x = 209,247,694,096/208,768
6. Step 6: Final answer
   x = 1,002,297.74