Finding the Third Proportional to 65,904 and 142,656

Step by Step Solution

1. Step 1: Write the proportion equation
   65,904 : 142,656 = 142,656 : x
2. Step 2: Convert to fraction form
   65,904/142,656 = 142,656/x
3. Step 3: Cross multiply
   65,904x = 142,656 × 142,656
4. Step 4: Simplify right side
   65,904x = 20,350,734,336
5. Step 5: Solve for x
   x = 20,350,734,336/65,904
6. Step 6: Final answer
   x = 308,793.61