Finding the Third Proportional to 150,960 and 204,300

Step by Step Solution

1. Step 1: Write the proportion equation
   150,960 : 204,300 = 204,300 : x
2. Step 2: Convert to fraction form
   150,960/204,300 = 204,300/x
3. Step 3: Cross multiply
   150,960x = 204,300 × 204,300
4. Step 4: Simplify right side
   150,960x = 41,738,490,000
5. Step 5: Solve for x
   x = 41,738,490,000/150,960
6. Step 6: Final answer
   x = 276,487.08