Finding the Third Proportional to 150,412 and 225,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,412 : 225,650.50 = 225,650.50 : x
2. Step 2: Convert to fraction form
   150,412/225,650.50 = 225,650.50/x
3. Step 3: Cross multiply
   150,412x = 225,650.50 × 225,650.50
4. Step 4: Simplify right side
   150,412x = 50,918,148,150.25
5. Step 5: Solve for x
   x = 50,918,148,150.25/150,412
6. Step 6: Final answer
   x = 338,524.51