Finding the Third Proportional to 242,826 and 380,090

Step by Step Solution

1. Step 1: Write the proportion equation
   242,826 : 380,090 = 380,090 : x
2. Step 2: Convert to fraction form
   242,826/380,090 = 380,090/x
3. Step 3: Cross multiply
   242,826x = 380,090 × 380,090
4. Step 4: Simplify right side
   242,826x = 144,468,408,100
5. Step 5: Solve for x
   x = 144,468,408,100/242,826
6. Step 6: Final answer
   x = 594,946.21