Finding the Third Proportional to 120,661.50 and 280,533

Step by Step Solution

1. Step 1: Write the proportion equation
   120,661.50 : 280,533 = 280,533 : x
2. Step 2: Convert to fraction form
   120,661.50/280,533 = 280,533/x
3. Step 3: Cross multiply
   120,661.50x = 280,533 × 280,533
4. Step 4: Simplify right side
   120,661.50x = 78,698,764,089
5. Step 5: Solve for x
   x = 78,698,764,089/120,661.50
6. Step 6: Final answer
   x = 652,227.63