Finding the Third Proportional to 333,723 and 691,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,723 : 691,102.50 = 691,102.50 : x
2. Step 2: Convert to fraction form
   333,723/691,102.50 = 691,102.50/x
3. Step 3: Cross multiply
   333,723x = 691,102.50 × 691,102.50
4. Step 4: Simplify right side
   333,723x = 477,622,665,506.25
5. Step 5: Solve for x
   x = 477,622,665,506.25/333,723
6. Step 6: Final answer
   x = 1,431,194.93