Finding the Third Proportional to 196,814 and 407,632

Step by Step Solution

1. Step 1: Write the proportion equation
   196,814 : 407,632 = 407,632 : x
2. Step 2: Convert to fraction form
   196,814/407,632 = 407,632/x
3. Step 3: Cross multiply
   196,814x = 407,632 × 407,632
4. Step 4: Simplify right side
   196,814x = 166,163,847,424
5. Step 5: Solve for x
   x = 166,163,847,424/196,814
6. Step 6: Final answer
   x = 844,268.43