Finding the Third Proportional to 199,543.50 and 315,934.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,543.50 : 315,934.50 = 315,934.50 : x
2. Step 2: Convert to fraction form
   199,543.50/315,934.50 = 315,934.50/x
3. Step 3: Cross multiply
   199,543.50x = 315,934.50 × 315,934.50
4. Step 4: Simplify right side
   199,543.50x = 99,814,608,290.25
5. Step 5: Solve for x
   x = 99,814,608,290.25/199,543.50
6. Step 6: Final answer
   x = 500,214.78