Finding the Third Proportional to 65,644 and 141,638

Step by Step Solution

1. Step 1: Write the proportion equation
   65,644 : 141,638 = 141,638 : x
2. Step 2: Convert to fraction form
   65,644/141,638 = 141,638/x
3. Step 3: Cross multiply
   65,644x = 141,638 × 141,638
4. Step 4: Simplify right side
   65,644x = 20,061,323,044
5. Step 5: Solve for x
   x = 20,061,323,044/65,644
6. Step 6: Final answer
   x = 305,607.87