Finding the Third Proportional to 199,530 and 408,381.75

Step by Step Solution

1. Step 1: Write the proportion equation
   199,530 : 408,381.75 = 408,381.75 : x
2. Step 2: Convert to fraction form
   199,530/408,381.75 = 408,381.75/x
3. Step 3: Cross multiply
   199,530x = 408,381.75 × 408,381.75
4. Step 4: Simplify right side
   199,530x = 166,775,653,733.06
5. Step 5: Solve for x
   x = 166,775,653,733.06/199,530
6. Step 6: Final answer
   x = 835,842.50