Finding the Third Proportional to 150,536 and 205,044

Step by Step Solution

1. Step 1: Write the proportion equation
   150,536 : 205,044 = 205,044 : x
2. Step 2: Convert to fraction form
   150,536/205,044 = 205,044/x
3. Step 3: Cross multiply
   150,536x = 205,044 × 205,044
4. Step 4: Simplify right side
   150,536x = 42,043,041,936
5. Step 5: Solve for x
   x = 42,043,041,936/150,536
6. Step 6: Final answer
   x = 279,288.95