Finding the Third Proportional to 199,626 and 408,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,626 : 408,565.50 = 408,565.50 : x
2. Step 2: Convert to fraction form
   199,626/408,565.50 = 408,565.50/x
3. Step 3: Cross multiply
   199,626x = 408,565.50 × 408,565.50
4. Step 4: Simplify right side
   199,626x = 166,925,767,790.25
5. Step 5: Solve for x
   x = 166,925,767,790.25/199,626
6. Step 6: Final answer
   x = 836,192.52