Finding the Third Proportional to 353,643 and 723,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,643 : 723,625.50 = 723,625.50 : x
2. Step 2: Convert to fraction form
   353,643/723,625.50 = 723,625.50/x
3. Step 3: Cross multiply
   353,643x = 723,625.50 × 723,625.50
4. Step 4: Simplify right side
   353,643x = 523,633,864,250.25
5. Step 5: Solve for x
   x = 523,633,864,250.25/353,643
6. Step 6: Final answer
   x = 1,480,684.94