Finding the Third Proportional to 300.90 and 477.46

Step by Step Solution

1. Step 1: Write the proportion equation
   300.90 : 477.46 = 477.46 : x
2. Step 2: Convert to fraction form
   300.90/477.46 = 477.46/x
3. Step 3: Cross multiply
   300.90x = 477.46 × 477.46
4. Step 4: Simplify right side
   300.90x = 227,965.22
5. Step 5: Solve for x
   x = 227,965.22/300.90
6. Step 6: Final answer
   x = 757.61