Finding the Third Proportional to 65,708 and 142,904

Step by Step Solution

1. Step 1: Write the proportion equation
   65,708 : 142,904 = 142,904 : x
2. Step 2: Convert to fraction form
   65,708/142,904 = 142,904/x
3. Step 3: Cross multiply
   65,708x = 142,904 × 142,904
4. Step 4: Simplify right side
   65,708x = 20,421,553,216
5. Step 5: Solve for x
   x = 20,421,553,216/65,708
6. Step 6: Final answer
   x = 310,792.49