Finding the Third Proportional to 196,819 and 407,642

Step by Step Solution

1. Step 1: Write the proportion equation
   196,819 : 407,642 = 407,642 : x
2. Step 2: Convert to fraction form
   196,819/407,642 = 407,642/x
3. Step 3: Cross multiply
   196,819x = 407,642 × 407,642
4. Step 4: Simplify right side
   196,819x = 166,172,000,164
5. Step 5: Solve for x
   x = 166,172,000,164/196,819
6. Step 6: Final answer
   x = 844,288.41