Finding the Third Proportional to 309,825 and 491,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,825 : 491,467.50 = 491,467.50 : x
2. Step 2: Convert to fraction form
   309,825/491,467.50 = 491,467.50/x
3. Step 3: Cross multiply
   309,825x = 491,467.50 × 491,467.50
4. Step 4: Simplify right side
   309,825x = 241,540,303,556.25
5. Step 5: Solve for x
   x = 241,540,303,556.25/309,825
6. Step 6: Final answer
   x = 779,602.37