Finding the Third Proportional to 300.56 and 646.13

Step by Step Solution

1. Step 1: Write the proportion equation
   300.56 : 646.13 = 646.13 : x
2. Step 2: Convert to fraction form
   300.56/646.13 = 646.13/x
3. Step 3: Cross multiply
   300.56x = 646.13 × 646.13
4. Step 4: Simplify right side
   300.56x = 417,477.52
5. Step 5: Solve for x
   x = 417,477.52/300.56
6. Step 6: Final answer
   x = 1,388.99