Finding the Third Proportional to 408,096 and 573,672

Step by Step Solution

1. Step 1: Write the proportion equation
   408,096 : 573,672 = 573,672 : x
2. Step 2: Convert to fraction form
   408,096/573,672 = 573,672/x
3. Step 3: Cross multiply
   408,096x = 573,672 × 573,672
4. Step 4: Simplify right side
   408,096x = 329,099,563,584
5. Step 5: Solve for x
   x = 329,099,563,584/408,096
6. Step 6: Final answer
   x = 806,426.83