Finding the Third Proportional to 65,775 and 142,638

Step by Step Solution

1. Step 1: Write the proportion equation
   65,775 : 142,638 = 142,638 : x
2. Step 2: Convert to fraction form
   65,775/142,638 = 142,638/x
3. Step 3: Cross multiply
   65,775x = 142,638 × 142,638
4. Step 4: Simplify right side
   65,775x = 20,345,599,044
5. Step 5: Solve for x
   x = 20,345,599,044/65,775
6. Step 6: Final answer
   x = 309,321.16