Finding the Third Proportional to 300 and 541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300 : 541.50 = 541.50 : x
2. Step 2: Convert to fraction form
   300/541.50 = 541.50/x
3. Step 3: Cross multiply
   300x = 541.50 × 541.50
4. Step 4: Simplify right side
   300x = 293,222.25
5. Step 5: Solve for x
   x = 293,222.25/300
6. Step 6: Final answer
   x = 977.41