Finding the Third Proportional to 242,784 and 533,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,784 : 533,749.50 = 533,749.50 : x
2. Step 2: Convert to fraction form
   242,784/533,749.50 = 533,749.50/x
3. Step 3: Cross multiply
   242,784x = 533,749.50 × 533,749.50
4. Step 4: Simplify right side
   242,784x = 284,888,528,750.25
5. Step 5: Solve for x
   x = 284,888,528,750.25/242,784
6. Step 6: Final answer
   x = 1,173,423.82