Finding the Third Proportional to 105,733 and 227,968

Step by Step Solution

1. Step 1: Write the proportion equation
   105,733 : 227,968 = 227,968 : x
2. Step 2: Convert to fraction form
   105,733/227,968 = 227,968/x
3. Step 3: Cross multiply
   105,733x = 227,968 × 227,968
4. Step 4: Simplify right side
   105,733x = 51,969,409,024
5. Step 5: Solve for x
   x = 51,969,409,024/105,733
6. Step 6: Final answer
   x = 491,515.51