Finding the Third Proportional to 65,540 and 140,638

Step by Step Solution

1. Step 1: Write the proportion equation
   65,540 : 140,638 = 140,638 : x
2. Step 2: Convert to fraction form
   65,540/140,638 = 140,638/x
3. Step 3: Cross multiply
   65,540x = 140,638 × 140,638
4. Step 4: Simplify right side
   65,540x = 19,779,047,044
5. Step 5: Solve for x
   x = 19,779,047,044/65,540
6. Step 6: Final answer
   x = 301,785.89