Finding the Third Proportional to 95,138 and 196,036

Step by Step Solution

1. Step 1: Write the proportion equation
   95,138 : 196,036 = 196,036 : x
2. Step 2: Convert to fraction form
   95,138/196,036 = 196,036/x
3. Step 3: Cross multiply
   95,138x = 196,036 × 196,036
4. Step 4: Simplify right side
   95,138x = 38,430,113,296
5. Step 5: Solve for x
   x = 38,430,113,296/95,138
6. Step 6: Final answer
   x = 403,940.73