Finding the Third Proportional to 150,885 and 280,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,885 : 280,372.50 = 280,372.50 : x
2. Step 2: Convert to fraction form
   150,885/280,372.50 = 280,372.50/x
3. Step 3: Cross multiply
   150,885x = 280,372.50 × 280,372.50
4. Step 4: Simplify right side
   150,885x = 78,608,738,756.25
5. Step 5: Solve for x
   x = 78,608,738,756.25/150,885
6. Step 6: Final answer
   x = 520,984.45