Finding the Third Proportional to 98,530.50 and 204,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,530.50 : 204,067.50 = 204,067.50 : x
2. Step 2: Convert to fraction form
   98,530.50/204,067.50 = 204,067.50/x
3. Step 3: Cross multiply
   98,530.50x = 204,067.50 × 204,067.50
4. Step 4: Simplify right side
   98,530.50x = 41,643,544,556.25
5. Step 5: Solve for x
   x = 41,643,544,556.25/98,530.50
6. Step 6: Final answer
   x = 422,646.23