Finding the Third Proportional to 150,732 and 204,714

Step by Step Solution

1. Step 1: Write the proportion equation
   150,732 : 204,714 = 204,714 : x
2. Step 2: Convert to fraction form
   150,732/204,714 = 204,714/x
3. Step 3: Cross multiply
   150,732x = 204,714 × 204,714
4. Step 4: Simplify right side
   150,732x = 41,907,821,796
5. Step 5: Solve for x
   x = 41,907,821,796/150,732
6. Step 6: Final answer
   x = 278,028.70