Finding the Third Proportional to 140,620 and 205,638

Step by Step Solution

1. Step 1: Write the proportion equation
   140,620 : 205,638 = 205,638 : x
2. Step 2: Convert to fraction form
   140,620/205,638 = 205,638/x
3. Step 3: Cross multiply
   140,620x = 205,638 × 205,638
4. Step 4: Simplify right side
   140,620x = 42,286,987,044
5. Step 5: Solve for x
   x = 42,286,987,044/140,620
6. Step 6: Final answer
   x = 300,718.16