Finding the Third Proportional to 150,477 and 355,200

Step by Step Solution

1. Step 1: Write the proportion equation
   150,477 : 355,200 = 355,200 : x
2. Step 2: Convert to fraction form
   150,477/355,200 = 355,200/x
3. Step 3: Cross multiply
   150,477x = 355,200 × 355,200
4. Step 4: Simplify right side
   150,477x = 126,167,040,000
5. Step 5: Solve for x
   x = 126,167,040,000/150,477
6. Step 6: Final answer
   x = 838,447.34