Finding the Third Proportional to 65,676 and 142,368

Step by Step Solution

1. Step 1: Write the proportion equation
   65,676 : 142,368 = 142,368 : x
2. Step 2: Convert to fraction form
   65,676/142,368 = 142,368/x
3. Step 3: Cross multiply
   65,676x = 142,368 × 142,368
4. Step 4: Simplify right side
   65,676x = 20,268,647,424
5. Step 5: Solve for x
   x = 20,268,647,424/65,676
6. Step 6: Final answer
   x = 308,615.74