Finding the Third Proportional to 196,469 and 407,007

Step by Step Solution

1. Step 1: Write the proportion equation
   196,469 : 407,007 = 407,007 : x
2. Step 2: Convert to fraction form
   196,469/407,007 = 407,007/x
3. Step 3: Cross multiply
   196,469x = 407,007 × 407,007
4. Step 4: Simplify right side
   196,469x = 165,654,698,049
5. Step 5: Solve for x
   x = 165,654,698,049/196,469
6. Step 6: Final answer
   x = 843,159.47