Finding the Third Proportional to 463.94 and 722.56

Step by Step Solution

1. Step 1: Write the proportion equation
   463.94 : 722.56 = 722.56 : x
2. Step 2: Convert to fraction form
   463.94/722.56 = 722.56/x
3. Step 3: Cross multiply
   463.94x = 722.56 × 722.56
4. Step 4: Simplify right side
   463.94x = 522,096.57
5. Step 5: Solve for x
   x = 522,096.57/463.94
6. Step 6: Final answer
   x = 1,125.36