Finding the Third Proportional to 150,546 and 205,059

Step by Step Solution

1. Step 1: Write the proportion equation
   150,546 : 205,059 = 205,059 : x
2. Step 2: Convert to fraction form
   150,546/205,059 = 205,059/x
3. Step 3: Cross multiply
   150,546x = 205,059 × 205,059
4. Step 4: Simplify right side
   150,546x = 42,049,193,481
5. Step 5: Solve for x
   x = 42,049,193,481/150,546
6. Step 6: Final answer
   x = 279,311.26