Finding the Third Proportional to 95,886 and 196,578

Step by Step Solution

1. Step 1: Write the proportion equation
   95,886 : 196,578 = 196,578 : x
2. Step 2: Convert to fraction form
   95,886/196,578 = 196,578/x
3. Step 3: Cross multiply
   95,886x = 196,578 × 196,578
4. Step 4: Simplify right side
   95,886x = 38,642,910,084
5. Step 5: Solve for x
   x = 38,642,910,084/95,886
6. Step 6: Final answer
   x = 403,008.89