Finding the Third Proportional to 365,499.75 and 548,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,499.75 : 548,249.50 = 548,249.50 : x
2. Step 2: Convert to fraction form
   365,499.75/548,249.50 = 548,249.50/x
3. Step 3: Cross multiply
   365,499.75x = 548,249.50 × 548,249.50
4. Step 4: Simplify right side
   365,499.75x = 300,577,514,250.25
5. Step 5: Solve for x
   x = 300,577,514,250.25/365,499.75
6. Step 6: Final answer
   x = 822,374.06