Finding the Third Proportional to 407,941 and 573,456

Step by Step Solution

1. Step 1: Write the proportion equation
   407,941 : 573,456 = 573,456 : x
2. Step 2: Convert to fraction form
   407,941/573,456 = 573,456/x
3. Step 3: Cross multiply
   407,941x = 573,456 × 573,456
4. Step 4: Simplify right side
   407,941x = 328,851,783,936
5. Step 5: Solve for x
   x = 328,851,783,936/407,941
6. Step 6: Final answer
   x = 806,125.85