Finding the Third Proportional to 335,844 and 723,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,844 : 723,664.50 = 723,664.50 : x
2. Step 2: Convert to fraction form
   335,844/723,664.50 = 723,664.50/x
3. Step 3: Cross multiply
   335,844x = 723,664.50 × 723,664.50
4. Step 4: Simplify right side
   335,844x = 523,690,308,560.25
5. Step 5: Solve for x
   x = 523,690,308,560.25/335,844
6. Step 6: Final answer
   x = 1,559,326.08