Finding the Third Proportional to 65,706 and 144,128

Step by Step Solution

1. Step 1: Write the proportion equation
   65,706 : 144,128 = 144,128 : x
2. Step 2: Convert to fraction form
   65,706/144,128 = 144,128/x
3. Step 3: Cross multiply
   65,706x = 144,128 × 144,128
4. Step 4: Simplify right side
   65,706x = 20,772,880,384
5. Step 5: Solve for x
   x = 20,772,880,384/65,706
6. Step 6: Final answer
   x = 316,148.91