Finding the Third Proportional to 463.69 and 715.69

Step by Step Solution

1. Step 1: Write the proportion equation
   463.69 : 715.69 = 715.69 : x
2. Step 2: Convert to fraction form
   463.69/715.69 = 715.69/x
3. Step 3: Cross multiply
   463.69x = 715.69 × 715.69
4. Step 4: Simplify right side
   463.69x = 512,208.60
5. Step 5: Solve for x
   x = 512,208.60/463.69
6. Step 6: Final answer
   x = 1,104.64