Finding the Third Proportional to 199,569 and 317,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,569 : 317,707.50 = 317,707.50 : x
2. Step 2: Convert to fraction form
   199,569/317,707.50 = 317,707.50/x
3. Step 3: Cross multiply
   199,569x = 317,707.50 × 317,707.50
4. Step 4: Simplify right side
   199,569x = 100,938,055,556.25
5. Step 5: Solve for x
   x = 100,938,055,556.25/199,569
6. Step 6: Final answer
   x = 505,780.23