Finding the Third Proportional to 137,709 and 300,689

Step by Step Solution

1. Step 1: Write the proportion equation
   137,709 : 300,689 = 300,689 : x
2. Step 2: Convert to fraction form
   137,709/300,689 = 300,689/x
3. Step 3: Cross multiply
   137,709x = 300,689 × 300,689
4. Step 4: Simplify right side
   137,709x = 90,413,874,721
5. Step 5: Solve for x
   x = 90,413,874,721/137,709
6. Step 6: Final answer
   x = 656,557.49