Finding the Third Proportional to 259,665.75 and 410,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,665.75 : 410,818.50 = 410,818.50 : x
2. Step 2: Convert to fraction form
   259,665.75/410,818.50 = 410,818.50/x
3. Step 3: Cross multiply
   259,665.75x = 410,818.50 × 410,818.50
4. Step 4: Simplify right side
   259,665.75x = 168,771,839,942.25
5. Step 5: Solve for x
   x = 168,771,839,942.25/259,665.75
6. Step 6: Final answer
   x = 649,958.03