Finding the Third Proportional to 317,101 and 491,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   317,101 : 491,104.50 = 491,104.50 : x
2. Step 2: Convert to fraction form
   317,101/491,104.50 = 491,104.50/x
3. Step 3: Cross multiply
   317,101x = 491,104.50 × 491,104.50
4. Step 4: Simplify right side
   317,101x = 241,183,629,920.25
5. Step 5: Solve for x
   x = 241,183,629,920.25/317,101
6. Step 6: Final answer
   x = 760,589.31