Finding the Third Proportional to 65,944 and 142,828

Step by Step Solution

1. Step 1: Write the proportion equation
   65,944 : 142,828 = 142,828 : x
2. Step 2: Convert to fraction form
   65,944/142,828 = 142,828/x
3. Step 3: Cross multiply
   65,944x = 142,828 × 142,828
4. Step 4: Simplify right side
   65,944x = 20,399,837,584
5. Step 5: Solve for x
   x = 20,399,837,584/65,944
6. Step 6: Final answer
   x = 309,350.93