Finding the Third Proportional to 300.56 and 727.78

Step by Step Solution

1. Step 1: Write the proportion equation
   300.56 : 727.78 = 727.78 : x
2. Step 2: Convert to fraction form
   300.56/727.78 = 727.78/x
3. Step 3: Cross multiply
   300.56x = 727.78 × 727.78
4. Step 4: Simplify right side
   300.56x = 529,665.55
5. Step 5: Solve for x
   x = 529,665.55/300.56
6. Step 6: Final answer
   x = 1,762.25