Finding the Third Proportional to 363,268 and 498,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,268 : 498,667.50 = 498,667.50 : x
2. Step 2: Convert to fraction form
   363,268/498,667.50 = 498,667.50/x
3. Step 3: Cross multiply
   363,268x = 498,667.50 × 498,667.50
4. Step 4: Simplify right side
   363,268x = 248,669,275,556.25
5. Step 5: Solve for x
   x = 248,669,275,556.25/363,268
6. Step 6: Final answer
   x = 684,533.94