Finding the Third Proportional to 242,757 and 362,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,757 : 362,920.50 = 362,920.50 : x
2. Step 2: Convert to fraction form
   242,757/362,920.50 = 362,920.50/x
3. Step 3: Cross multiply
   242,757x = 362,920.50 × 362,920.50
4. Step 4: Simplify right side
   242,757x = 131,711,289,320.25
5. Step 5: Solve for x
   x = 131,711,289,320.25/242,757
6. Step 6: Final answer
   x = 542,564.33