Finding the Third Proportional to 242,819 and 380,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,819 : 380,078.50 = 380,078.50 : x
2. Step 2: Convert to fraction form
   242,819/380,078.50 = 380,078.50/x
3. Step 3: Cross multiply
   242,819x = 380,078.50 × 380,078.50
4. Step 4: Simplify right side
   242,819x = 144,459,666,162.25
5. Step 5: Solve for x
   x = 144,459,666,162.25/242,819
6. Step 6: Final answer
   x = 594,927.36