Finding the Third Proportional to 333,729 and 691,113.38

Step by Step Solution

1. Step 1: Write the proportion equation
   333,729 : 691,113.38 = 691,113.38 : x
2. Step 2: Convert to fraction form
   333,729/691,113.38 = 691,113.38/x
3. Step 3: Cross multiply
   333,729x = 691,113.38 × 691,113.38
4. Step 4: Simplify right side
   333,729x = 477,637,697,103.89
5. Step 5: Solve for x
   x = 477,637,697,103.89/333,729
6. Step 6: Final answer
   x = 1,431,214.24