Finding the Third Proportional to 137,293 and 300,829

Step by Step Solution

1. Step 1: Write the proportion equation
   137,293 : 300,829 = 300,829 : x
2. Step 2: Convert to fraction form
   137,293/300,829 = 300,829/x
3. Step 3: Cross multiply
   137,293x = 300,829 × 300,829
4. Step 4: Simplify right side
   137,293x = 90,498,087,241
5. Step 5: Solve for x
   x = 90,498,087,241/137,293
6. Step 6: Final answer
   x = 659,160.24