Finding the Third Proportional to 105,968 and 229,144

Step by Step Solution

1. Step 1: Write the proportion equation
   105,968 : 229,144 = 229,144 : x
2. Step 2: Convert to fraction form
   105,968/229,144 = 229,144/x
3. Step 3: Cross multiply
   105,968x = 229,144 × 229,144
4. Step 4: Simplify right side
   105,968x = 52,506,972,736
5. Step 5: Solve for x
   x = 52,506,972,736/105,968
6. Step 6: Final answer
   x = 495,498.38