Finding the Third Proportional to 65,760 and 142,692

Step by Step Solution

1. Step 1: Write the proportion equation
   65,760 : 142,692 = 142,692 : x
2. Step 2: Convert to fraction form
   65,760/142,692 = 142,692/x
3. Step 3: Cross multiply
   65,760x = 142,692 × 142,692
4. Step 4: Simplify right side
   65,760x = 20,361,006,864
5. Step 5: Solve for x
   x = 20,361,006,864/65,760
6. Step 6: Final answer
   x = 309,626.02