Finding the Third Proportional to 150,408 and 200,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,408 : 200,488.50 = 200,488.50 : x
2. Step 2: Convert to fraction form
   150,408/200,488.50 = 200,488.50/x
3. Step 3: Cross multiply
   150,408x = 200,488.50 × 200,488.50
4. Step 4: Simplify right side
   150,408x = 40,195,638,632.25
5. Step 5: Solve for x
   x = 40,195,638,632.25/150,408
6. Step 6: Final answer
   x = 267,244.02