Finding the Third Proportional to 325,868.50 and 681,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,868.50 : 681,527.50 = 681,527.50 : x
2. Step 2: Convert to fraction form
   325,868.50/681,527.50 = 681,527.50/x
3. Step 3: Cross multiply
   325,868.50x = 681,527.50 × 681,527.50
4. Step 4: Simplify right side
   325,868.50x = 464,479,733,256.25
5. Step 5: Solve for x
   x = 464,479,733,256.25/325,868.50
6. Step 6: Final answer
   x = 1,425,359.41