Finding the Third Proportional to 242,034 and 323,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,034 : 323,266.50 = 323,266.50 : x
2. Step 2: Convert to fraction form
   242,034/323,266.50 = 323,266.50/x
3. Step 3: Cross multiply
   242,034x = 323,266.50 × 323,266.50
4. Step 4: Simplify right side
   242,034x = 104,501,230,022.25
5. Step 5: Solve for x
   x = 104,501,230,022.25/242,034
6. Step 6: Final answer
   x = 431,762.60