Finding the Third Proportional to 294,784 and 447,792

Step by Step Solution

1. Step 1: Write the proportion equation
   294,784 : 447,792 = 447,792 : x
2. Step 2: Convert to fraction form
   294,784/447,792 = 447,792/x
3. Step 3: Cross multiply
   294,784x = 447,792 × 447,792
4. Step 4: Simplify right side
   294,784x = 200,517,675,264
5. Step 5: Solve for x
   x = 200,517,675,264/294,784
6. Step 6: Final answer
   x = 680,218.99