Finding the Third Proportional to 300.50 and 512.88

Step by Step Solution

1. Step 1: Write the proportion equation
   300.50 : 512.88 = 512.88 : x
2. Step 2: Convert to fraction form
   300.50/512.88 = 512.88/x
3. Step 3: Cross multiply
   300.50x = 512.88 × 512.88
4. Step 4: Simplify right side
   300.50x = 263,040.77
5. Step 5: Solve for x
   x = 263,040.77/300.50
6. Step 6: Final answer
   x = 875.34