Finding the Third Proportional to 65,707 and 142,902

Step by Step Solution

1. Step 1: Write the proportion equation
   65,707 : 142,902 = 142,902 : x
2. Step 2: Convert to fraction form
   65,707/142,902 = 142,902/x
3. Step 3: Cross multiply
   65,707x = 142,902 × 142,902
4. Step 4: Simplify right side
   65,707x = 20,420,981,604
5. Step 5: Solve for x
   x = 20,420,981,604/65,707
6. Step 6: Final answer
   x = 310,788.52