Finding the Third Proportional to 138,758 and 300,846

Step by Step Solution

1. Step 1: Write the proportion equation
   138,758 : 300,846 = 300,846 : x
2. Step 2: Convert to fraction form
   138,758/300,846 = 300,846/x
3. Step 3: Cross multiply
   138,758x = 300,846 × 300,846
4. Step 4: Simplify right side
   138,758x = 90,508,315,716
5. Step 5: Solve for x
   x = 90,508,315,716/138,758
6. Step 6: Final answer
   x = 652,274.58