Finding the Third Proportional to 401,698.50 and 550,824

Step by Step Solution

1. Step 1: Write the proportion equation
   401,698.50 : 550,824 = 550,824 : x
2. Step 2: Convert to fraction form
   401,698.50/550,824 = 550,824/x
3. Step 3: Cross multiply
   401,698.50x = 550,824 × 550,824
4. Step 4: Simplify right side
   401,698.50x = 303,407,078,976
5. Step 5: Solve for x
   x = 303,407,078,976/401,698.50
6. Step 6: Final answer
   x = 755,310.46