Finding the Third Proportional to 140,048 and 209,582

Step by Step Solution

1. Step 1: Write the proportion equation
   140,048 : 209,582 = 209,582 : x
2. Step 2: Convert to fraction form
   140,048/209,582 = 209,582/x
3. Step 3: Cross multiply
   140,048x = 209,582 × 209,582
4. Step 4: Simplify right side
   140,048x = 43,924,614,724
5. Step 5: Solve for x
   x = 43,924,614,724/140,048
6. Step 6: Final answer
   x = 313,639.71