Finding the Third Proportional to 199,614 and 408,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,614 : 408,541.50 = 408,541.50 : x
2. Step 2: Convert to fraction form
   199,614/408,541.50 = 408,541.50/x
3. Step 3: Cross multiply
   199,614x = 408,541.50 × 408,541.50
4. Step 4: Simplify right side
   199,614x = 166,906,157,222.25
5. Step 5: Solve for x
   x = 166,906,157,222.25/199,614
6. Step 6: Final answer
   x = 836,144.55