Finding the Third Proportional to 150,557 and 216,404

Step by Step Solution

1. Step 1: Write the proportion equation
   150,557 : 216,404 = 216,404 : x
2. Step 2: Convert to fraction form
   150,557/216,404 = 216,404/x
3. Step 3: Cross multiply
   150,557x = 216,404 × 216,404
4. Step 4: Simplify right side
   150,557x = 46,830,691,216
5. Step 5: Solve for x
   x = 46,830,691,216/150,557
6. Step 6: Final answer
   x = 311,049.58