Finding the Third Proportional to 150,555 and 216,401

Step by Step Solution

1. Step 1: Write the proportion equation
   150,555 : 216,401 = 216,401 : x
2. Step 2: Convert to fraction form
   150,555/216,401 = 216,401/x
3. Step 3: Cross multiply
   150,555x = 216,401 × 216,401
4. Step 4: Simplify right side
   150,555x = 46,829,392,801
5. Step 5: Solve for x
   x = 46,829,392,801/150,555
6. Step 6: Final answer
   x = 311,045.09