Finding the Third Proportional to 326,794 and 504,750.50

Step by Step Solution

1. Step 1: Write the proportion equation
   326,794 : 504,750.50 = 504,750.50 : x
2. Step 2: Convert to fraction form
   326,794/504,750.50 = 504,750.50/x
3. Step 3: Cross multiply
   326,794x = 504,750.50 × 504,750.50
4. Step 4: Simplify right side
   326,794x = 254,773,067,250.25
5. Step 5: Solve for x
   x = 254,773,067,250.25/326,794
6. Step 6: Final answer
   x = 779,613.66