Finding the Third Proportional to 196,318 and 407,216

Step by Step Solution

1. Step 1: Write the proportion equation
   196,318 : 407,216 = 407,216 : x
2. Step 2: Convert to fraction form
   196,318/407,216 = 407,216/x
3. Step 3: Cross multiply
   196,318x = 407,216 × 407,216
4. Step 4: Simplify right side
   196,318x = 165,824,870,656
5. Step 5: Solve for x
   x = 165,824,870,656/196,318
6. Step 6: Final answer
   x = 844,674.82