Finding the Third Proportional to 65,658 and 144,080

Step by Step Solution

1. Step 1: Write the proportion equation
   65,658 : 144,080 = 144,080 : x
2. Step 2: Convert to fraction form
   65,658/144,080 = 144,080/x
3. Step 3: Cross multiply
   65,658x = 144,080 × 144,080
4. Step 4: Simplify right side
   65,658x = 20,759,046,400
5. Step 5: Solve for x
   x = 20,759,046,400/65,658
6. Step 6: Final answer
   x = 316,169.34