Finding the Third Proportional to 65,819 and 142,144

Step by Step Solution

1. Step 1: Write the proportion equation
   65,819 : 142,144 = 142,144 : x
2. Step 2: Convert to fraction form
   65,819/142,144 = 142,144/x
3. Step 3: Cross multiply
   65,819x = 142,144 × 142,144
4. Step 4: Simplify right side
   65,819x = 20,204,916,736
5. Step 5: Solve for x
   x = 20,204,916,736/65,819
6. Step 6: Final answer
   x = 306,976.96