Finding the Third Proportional to 65,880 and 142,128

Step by Step Solution

1. Step 1: Write the proportion equation
   65,880 : 142,128 = 142,128 : x
2. Step 2: Convert to fraction form
   65,880/142,128 = 142,128/x
3. Step 3: Cross multiply
   65,880x = 142,128 × 142,128
4. Step 4: Simplify right side
   65,880x = 20,200,368,384
5. Step 5: Solve for x
   x = 20,200,368,384/65,880
6. Step 6: Final answer
   x = 306,623.69