Finding the Third Proportional to 333,744 and 691,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,744 : 691,144.50 = 691,144.50 : x
2. Step 2: Convert to fraction form
   333,744/691,144.50 = 691,144.50/x
3. Step 3: Cross multiply
   333,744x = 691,144.50 × 691,144.50
4. Step 4: Simplify right side
   333,744x = 477,680,719,880.25
5. Step 5: Solve for x
   x = 477,680,719,880.25/333,744
6. Step 6: Final answer
   x = 1,431,278.82