Finding the Third Proportional to 298.69 and 463.22

Step by Step Solution

1. Step 1: Write the proportion equation
   298.69 : 463.22 = 463.22 : x
2. Step 2: Convert to fraction form
   298.69/463.22 = 463.22/x
3. Step 3: Cross multiply
   298.69x = 463.22 × 463.22
4. Step 4: Simplify right side
   298.69x = 214,571.61
5. Step 5: Solve for x
   x = 214,571.61/298.69
6. Step 6: Final answer
   x = 718.38