Finding the Third Proportional to 413,622 and 569,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,622 : 569,578.50 = 569,578.50 : x
2. Step 2: Convert to fraction form
   413,622/569,578.50 = 569,578.50/x
3. Step 3: Cross multiply
   413,622x = 569,578.50 × 569,578.50
4. Step 4: Simplify right side
   413,622x = 324,419,667,662.25
5. Step 5: Solve for x
   x = 324,419,667,662.25/413,622
6. Step 6: Final answer
   x = 784,338.52