Finding the Third Proportional to 325,854 and 681,501

Step by Step Solution

1. Step 1: Write the proportion equation
   325,854 : 681,501 = 681,501 : x
2. Step 2: Convert to fraction form
   325,854/681,501 = 681,501/x
3. Step 3: Cross multiply
   325,854x = 681,501 × 681,501
4. Step 4: Simplify right side
   325,854x = 464,443,613,001
5. Step 5: Solve for x
   x = 464,443,613,001/325,854
6. Step 6: Final answer
   x = 1,425,311.99