Finding the Third Proportional to 263,853 and 408,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,853 : 408,811.50 = 408,811.50 : x
2. Step 2: Convert to fraction form
   263,853/408,811.50 = 408,811.50/x
3. Step 3: Cross multiply
   263,853x = 408,811.50 × 408,811.50
4. Step 4: Simplify right side
   263,853x = 167,126,842,532.25
5. Step 5: Solve for x
   x = 167,126,842,532.25/263,853
6. Step 6: Final answer
   x = 633,408.92