Finding the Third Proportional to 194,720 and 300,678

Step by Step Solution

1. Step 1: Write the proportion equation
   194,720 : 300,678 = 300,678 : x
2. Step 2: Convert to fraction form
   194,720/300,678 = 300,678/x
3. Step 3: Cross multiply
   194,720x = 300,678 × 300,678
4. Step 4: Simplify right side
   194,720x = 90,407,259,684
5. Step 5: Solve for x
   x = 90,407,259,684/194,720
6. Step 6: Final answer
   x = 464,293.65