Finding the Third Proportional to 294,472 and 447,180

Step by Step Solution

1. Step 1: Write the proportion equation
   294,472 : 447,180 = 447,180 : x
2. Step 2: Convert to fraction form
   294,472/447,180 = 447,180/x
3. Step 3: Cross multiply
   294,472x = 447,180 × 447,180
4. Step 4: Simplify right side
   294,472x = 199,969,952,400
5. Step 5: Solve for x
   x = 199,969,952,400/294,472
6. Step 6: Final answer
   x = 679,079.68