Finding the Third Proportional to 300.50 and 406.38

Step by Step Solution

1. Step 1: Write the proportion equation
   300.50 : 406.38 = 406.38 : x
2. Step 2: Convert to fraction form
   300.50/406.38 = 406.38/x
3. Step 3: Cross multiply
   300.50x = 406.38 × 406.38
4. Step 4: Simplify right side
   300.50x = 165,140.64
5. Step 5: Solve for x
   x = 165,140.64/300.50
6. Step 6: Final answer
   x = 549.55