Finding the Third Proportional to 199,593 and 317,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,593 : 317,743.50 = 317,743.50 : x
2. Step 2: Convert to fraction form
   199,593/317,743.50 = 317,743.50/x
3. Step 3: Cross multiply
   199,593x = 317,743.50 × 317,743.50
4. Step 4: Simplify right side
   199,593x = 100,960,931,792.25
5. Step 5: Solve for x
   x = 100,960,931,792.25/199,593
6. Step 6: Final answer
   x = 505,834.03