Finding the Third Proportional to 300.50 and 514.75

Step by Step Solution

1. Step 1: Write the proportion equation
   300.50 : 514.75 = 514.75 : x
2. Step 2: Convert to fraction form
   300.50/514.75 = 514.75/x
3. Step 3: Cross multiply
   300.50x = 514.75 × 514.75
4. Step 4: Simplify right side
   300.50x = 264,967.56
5. Step 5: Solve for x
   x = 264,967.56/300.50
6. Step 6: Final answer
   x = 881.76