Finding the Third Proportional to 401,545.50 and 550,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,545.50 : 550,648.50 = 550,648.50 : x
2. Step 2: Convert to fraction form
   401,545.50/550,648.50 = 550,648.50/x
3. Step 3: Cross multiply
   401,545.50x = 550,648.50 × 550,648.50
4. Step 4: Simplify right side
   401,545.50x = 303,213,770,552.25
5. Step 5: Solve for x
   x = 303,213,770,552.25/401,545.50
6. Step 6: Final answer
   x = 755,116.84