Finding the Third Proportional to 263,727 and 408,621.75

Step by Step Solution

1. Step 1: Write the proportion equation
   263,727 : 408,621.75 = 408,621.75 : x
2. Step 2: Convert to fraction form
   263,727/408,621.75 = 408,621.75/x
3. Step 3: Cross multiply
   263,727x = 408,621.75 × 408,621.75
4. Step 4: Simplify right side
   263,727x = 166,971,734,573.06
5. Step 5: Solve for x
   x = 166,971,734,573.06/263,727
6. Step 6: Final answer
   x = 633,123.40