Finding the Third Proportional to 242,904 and 380,256

Step by Step Solution

1. Step 1: Write the proportion equation
   242,904 : 380,256 = 380,256 : x
2. Step 2: Convert to fraction form
   242,904/380,256 = 380,256/x
3. Step 3: Cross multiply
   242,904x = 380,256 × 380,256
4. Step 4: Simplify right side
   242,904x = 144,594,625,536
5. Step 5: Solve for x
   x = 144,594,625,536/242,904
6. Step 6: Final answer
   x = 595,274.78