Finding the Third Proportional to 263,622 and 408,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,622 : 408,541.50 = 408,541.50 : x
2. Step 2: Convert to fraction form
   263,622/408,541.50 = 408,541.50/x
3. Step 3: Cross multiply
   263,622x = 408,541.50 × 408,541.50
4. Step 4: Simplify right side
   263,622x = 166,906,157,222.25
5. Step 5: Solve for x
   x = 166,906,157,222.25/263,622
6. Step 6: Final answer
   x = 633,126.81