Finding the Third Proportional to 196,803 and 407,610

Step by Step Solution

1. Step 1: Write the proportion equation
   196,803 : 407,610 = 407,610 : x
2. Step 2: Convert to fraction form
   196,803/407,610 = 407,610/x
3. Step 3: Cross multiply
   196,803x = 407,610 × 407,610
4. Step 4: Simplify right side
   196,803x = 166,145,912,100
5. Step 5: Solve for x
   x = 166,145,912,100/196,803
6. Step 6: Final answer
   x = 844,224.49