Finding the Third Proportional to 263,610 and 408,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,610 : 408,523.50 = 408,523.50 : x
2. Step 2: Convert to fraction form
   263,610/408,523.50 = 408,523.50/x
3. Step 3: Cross multiply
   263,610x = 408,523.50 × 408,523.50
4. Step 4: Simplify right side
   263,610x = 166,891,450,052.25
5. Step 5: Solve for x
   x = 166,891,450,052.25/263,610
6. Step 6: Final answer
   x = 633,099.84