Finding the Third Proportional to 401,359.50 and 550,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,359.50 : 550,369.50 = 550,369.50 : x
2. Step 2: Convert to fraction form
   401,359.50/550,369.50 = 550,369.50/x
3. Step 3: Cross multiply
   401,359.50x = 550,369.50 × 550,369.50
4. Step 4: Simplify right side
   401,359.50x = 302,906,586,530.25
5. Step 5: Solve for x
   x = 302,906,586,530.25/401,359.50
6. Step 6: Final answer
   x = 754,701.42