Finding the Third Proportional to 263,707.50 and 408,078

Step by Step Solution

1. Step 1: Write the proportion equation
   263,707.50 : 408,078 = 408,078 : x
2. Step 2: Convert to fraction form
   263,707.50/408,078 = 408,078/x
3. Step 3: Cross multiply
   263,707.50x = 408,078 × 408,078
4. Step 4: Simplify right side
   263,707.50x = 166,527,654,084
5. Step 5: Solve for x
   x = 166,527,654,084/263,707.50
6. Step 6: Final answer
   x = 631,486.23