Finding the Third Proportional to 263,604 and 408,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,604 : 408,514.50 = 408,514.50 : x
2. Step 2: Convert to fraction form
   263,604/408,514.50 = 408,514.50/x
3. Step 3: Cross multiply
   263,604x = 408,514.50 × 408,514.50
4. Step 4: Simplify right side
   263,604x = 166,884,096,710.25
5. Step 5: Solve for x
   x = 166,884,096,710.25/263,604
6. Step 6: Final answer
   x = 633,086.36