Finding the Third Proportional to 335,023.50 and 729,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,023.50 : 729,109.50 = 729,109.50 : x
2. Step 2: Convert to fraction form
   335,023.50/729,109.50 = 729,109.50/x
3. Step 3: Cross multiply
   335,023.50x = 729,109.50 × 729,109.50
4. Step 4: Simplify right side
   335,023.50x = 531,600,662,990.25
5. Step 5: Solve for x
   x = 531,600,662,990.25/335,023.50
6. Step 6: Final answer
   x = 1,586,756.34