Finding the Third Proportional to 196,802 and 407,608

Step by Step Solution

1. Step 1: Write the proportion equation
   196,802 : 407,608 = 407,608 : x
2. Step 2: Convert to fraction form
   196,802/407,608 = 407,608/x
3. Step 3: Cross multiply
   196,802x = 407,608 × 407,608
4. Step 4: Simplify right side
   196,802x = 166,144,281,664
5. Step 5: Solve for x
   x = 166,144,281,664/196,802
6. Step 6: Final answer
   x = 844,220.49