Finding the Third Proportional to 95,716 and 196,204

Step by Step Solution

1. Step 1: Write the proportion equation
   95,716 : 196,204 = 196,204 : x
2. Step 2: Convert to fraction form
   95,716/196,204 = 196,204/x
3. Step 3: Cross multiply
   95,716x = 196,204 × 196,204
4. Step 4: Simplify right side
   95,716x = 38,496,009,616
5. Step 5: Solve for x
   x = 38,496,009,616/95,716
6. Step 6: Final answer
   x = 402,189.91