Finding the Third Proportional to 242,826 and 380,078

Step by Step Solution

1. Step 1: Write the proportion equation
   242,826 : 380,078 = 380,078 : x
2. Step 2: Convert to fraction form
   242,826/380,078 = 380,078/x
3. Step 3: Cross multiply
   242,826x = 380,078 × 380,078
4. Step 4: Simplify right side
   242,826x = 144,459,286,084
5. Step 5: Solve for x
   x = 144,459,286,084/242,826
6. Step 6: Final answer
   x = 594,908.64