Finding the Third Proportional to 190,066 and 408,210

Step by Step Solution

1. Step 1: Write the proportion equation
   190,066 : 408,210 = 408,210 : x
2. Step 2: Convert to fraction form
   190,066/408,210 = 408,210/x
3. Step 3: Cross multiply
   190,066x = 408,210 × 408,210
4. Step 4: Simplify right side
   190,066x = 166,635,404,100
5. Step 5: Solve for x
   x = 166,635,404,100/190,066
6. Step 6: Final answer
   x = 876,723.90