Finding the Third Proportional to 242,563.50 and 381,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,563.50 : 381,667.50 = 381,667.50 : x
2. Step 2: Convert to fraction form
   242,563.50/381,667.50 = 381,667.50/x
3. Step 3: Cross multiply
   242,563.50x = 381,667.50 × 381,667.50
4. Step 4: Simplify right side
   242,563.50x = 145,670,080,556.25
5. Step 5: Solve for x
   x = 145,670,080,556.25/242,563.50
6. Step 6: Final answer
   x = 600,544.11