Finding the Third Proportional to 150,514 and 205,007

Step by Step Solution

1. Step 1: Write the proportion equation
   150,514 : 205,007 = 205,007 : x
2. Step 2: Convert to fraction form
   150,514/205,007 = 205,007/x
3. Step 3: Cross multiply
   150,514x = 205,007 × 205,007
4. Step 4: Simplify right side
   150,514x = 42,027,870,049
5. Step 5: Solve for x
   x = 42,027,870,049/150,514
6. Step 6: Final answer
   x = 279,228.98