Finding the Third Proportional to 209,466 and 388,314

Step by Step Solution

1. Step 1: Write the proportion equation
   209,466 : 388,314 = 388,314 : x
2. Step 2: Convert to fraction form
   209,466/388,314 = 388,314/x
3. Step 3: Cross multiply
   209,466x = 388,314 × 388,314
4. Step 4: Simplify right side
   209,466x = 150,787,762,596
5. Step 5: Solve for x
   x = 150,787,762,596/209,466
6. Step 6: Final answer
   x = 719,867.48