Finding the Third Proportional to 365,505 and 548,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,505 : 548,255.50 = 548,255.50 : x
2. Step 2: Convert to fraction form
   365,505/548,255.50 = 548,255.50/x
3. Step 3: Cross multiply
   365,505x = 548,255.50 × 548,255.50
4. Step 4: Simplify right side
   365,505x = 300,584,093,280.25
5. Step 5: Solve for x
   x = 300,584,093,280.25/365,505
6. Step 6: Final answer
   x = 822,380.25