Finding the Third Proportional to 368,400 and 550,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   368,400 : 550,324.50 = 550,324.50 : x
2. Step 2: Convert to fraction form
   368,400/550,324.50 = 550,324.50/x
3. Step 3: Cross multiply
   368,400x = 550,324.50 × 550,324.50
4. Step 4: Simplify right side
   368,400x = 302,857,055,300.25
5. Step 5: Solve for x
   x = 302,857,055,300.25/368,400
6. Step 6: Final answer
   x = 822,087.56