Finding the Third Proportional to 138,814 and 300,956

Step by Step Solution

1. Step 1: Write the proportion equation
   138,814 : 300,956 = 300,956 : x
2. Step 2: Convert to fraction form
   138,814/300,956 = 300,956/x
3. Step 3: Cross multiply
   138,814x = 300,956 × 300,956
4. Step 4: Simplify right side
   138,814x = 90,574,513,936
5. Step 5: Solve for x
   x = 90,574,513,936/138,814
6. Step 6: Final answer
   x = 652,488.32