Finding the Third Proportional to 174,609 and 270,462.75

Step by Step Solution

1. Step 1: Write the proportion equation
   174,609 : 270,462.75 = 270,462.75 : x
2. Step 2: Convert to fraction form
   174,609/270,462.75 = 270,462.75/x
3. Step 3: Cross multiply
   174,609x = 270,462.75 × 270,462.75
4. Step 4: Simplify right side
   174,609x = 73,150,099,137.56
5. Step 5: Solve for x
   x = 73,150,099,137.56/174,609
6. Step 6: Final answer
   x = 418,936.59