Finding the Third Proportional to 309,680 and 452,571

Step by Step Solution

1. Step 1: Write the proportion equation
   309,680 : 452,571 = 452,571 : x
2. Step 2: Convert to fraction form
   309,680/452,571 = 452,571/x
3. Step 3: Cross multiply
   309,680x = 452,571 × 452,571
4. Step 4: Simplify right side
   309,680x = 204,820,510,041
5. Step 5: Solve for x
   x = 204,820,510,041/309,680
6. Step 6: Final answer
   x = 661,394.05