Finding the Third Proportional to 300.75 and 421.88

Step by Step Solution

1. Step 1: Write the proportion equation
   300.75 : 421.88 = 421.88 : x
2. Step 2: Convert to fraction form
   300.75/421.88 = 421.88/x
3. Step 3: Cross multiply
   300.75x = 421.88 × 421.88
4. Step 4: Simplify right side
   300.75x = 177,978.52
5. Step 5: Solve for x
   x = 177,978.52/300.75
6. Step 6: Final answer
   x = 591.78