Finding the Third Proportional to 137,204 and 300,644

Step by Step Solution

1. Step 1: Write the proportion equation
   137,204 : 300,644 = 300,644 : x
2. Step 2: Convert to fraction form
   137,204/300,644 = 300,644/x
3. Step 3: Cross multiply
   137,204x = 300,644 × 300,644
4. Step 4: Simplify right side
   137,204x = 90,386,814,736
5. Step 5: Solve for x
   x = 90,386,814,736/137,204
6. Step 6: Final answer
   x = 658,776.82