Finding the Third Proportional to 105,768 and 229,968

Step by Step Solution

1. Step 1: Write the proportion equation
   105,768 : 229,968 = 229,968 : x
2. Step 2: Convert to fraction form
   105,768/229,968 = 229,968/x
3. Step 3: Cross multiply
   105,768x = 229,968 × 229,968
4. Step 4: Simplify right side
   105,768x = 52,885,281,024
5. Step 5: Solve for x
   x = 52,885,281,024/105,768
6. Step 6: Final answer
   x = 500,012.11