Finding the Third Proportional to 199,561.50 and 408,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,561.50 : 408,445.50 = 408,445.50 : x
2. Step 2: Convert to fraction form
   199,561.50/408,445.50 = 408,445.50/x
3. Step 3: Cross multiply
   199,561.50x = 408,445.50 × 408,445.50
4. Step 4: Simplify right side
   199,561.50x = 166,827,726,470.25
5. Step 5: Solve for x
   x = 166,827,726,470.25/199,561.50
6. Step 6: Final answer
   x = 835,971.50