Finding the Third Proportional to 95,928 and 205,968

Step by Step Solution

1. Step 1: Write the proportion equation
   95,928 : 205,968 = 205,968 : x
2. Step 2: Convert to fraction form
   95,928/205,968 = 205,968/x
3. Step 3: Cross multiply
   95,928x = 205,968 × 205,968
4. Step 4: Simplify right side
   95,928x = 42,422,817,024
5. Step 5: Solve for x
   x = 42,422,817,024/95,928
6. Step 6: Final answer
   x = 442,236.02