Finding the Third Proportional to 407,972 and 573,494

Step by Step Solution

1. Step 1: Write the proportion equation
   407,972 : 573,494 = 573,494 : x
2. Step 2: Convert to fraction form
   407,972/573,494 = 573,494/x
3. Step 3: Cross multiply
   407,972x = 573,494 × 573,494
4. Step 4: Simplify right side
   407,972x = 328,895,368,036
5. Step 5: Solve for x
   x = 328,895,368,036/407,972
6. Step 6: Final answer
   x = 806,171.42