Finding the Third Proportional to 150,768 and 204,756

Step by Step Solution

1. Step 1: Write the proportion equation
   150,768 : 204,756 = 204,756 : x
2. Step 2: Convert to fraction form
   150,768/204,756 = 204,756/x
3. Step 3: Cross multiply
   150,768x = 204,756 × 204,756
4. Step 4: Simplify right side
   150,768x = 41,925,019,536
5. Step 5: Solve for x
   x = 41,925,019,536/150,768
6. Step 6: Final answer
   x = 278,076.38