Finding the Third Proportional to 485.56 and 719.69

Step by Step Solution

1. Step 1: Write the proportion equation
   485.56 : 719.69 = 719.69 : x
2. Step 2: Convert to fraction form
   485.56/719.69 = 719.69/x
3. Step 3: Cross multiply
   485.56x = 719.69 × 719.69
4. Step 4: Simplify right side
   485.56x = 517,950.10
5. Step 5: Solve for x
   x = 517,950.10/485.56
6. Step 6: Final answer
   x = 1,066.70