Finding the Third Proportional to 68,164 and 140,144

Step by Step Solution

1. Step 1: Write the proportion equation
   68,164 : 140,144 = 140,144 : x
2. Step 2: Convert to fraction form
   68,164/140,144 = 140,144/x
3. Step 3: Cross multiply
   68,164x = 140,144 × 140,144
4. Step 4: Simplify right side
   68,164x = 19,640,340,736
5. Step 5: Solve for x
   x = 19,640,340,736/68,164
6. Step 6: Final answer
   x = 288,133.63