Finding the Third Proportional to 138,109 and 300,821

Step by Step Solution

1. Step 1: Write the proportion equation
   138,109 : 300,821 = 300,821 : x
2. Step 2: Convert to fraction form
   138,109/300,821 = 300,821/x
3. Step 3: Cross multiply
   138,109x = 300,821 × 300,821
4. Step 4: Simplify right side
   138,109x = 90,493,274,041
5. Step 5: Solve for x
   x = 90,493,274,041/138,109
6. Step 6: Final answer
   x = 655,230.83