Finding the Third Proportional to 150,775.50 and 204,768

Step by Step Solution

1. Step 1: Write the proportion equation
   150,775.50 : 204,768 = 204,768 : x
2. Step 2: Convert to fraction form
   150,775.50/204,768 = 204,768/x
3. Step 3: Cross multiply
   150,775.50x = 204,768 × 204,768
4. Step 4: Simplify right side
   150,775.50x = 41,929,933,824
5. Step 5: Solve for x
   x = 41,929,933,824/150,775.50
6. Step 6: Final answer
   x = 278,095.14