Finding the Third Proportional to 298.31 and 463.88

Step by Step Solution

1. Step 1: Write the proportion equation
   298.31 : 463.88 = 463.88 : x
2. Step 2: Convert to fraction form
   298.31/463.88 = 463.88/x
3. Step 3: Cross multiply
   298.31x = 463.88 × 463.88
4. Step 4: Simplify right side
   298.31x = 215,180.02
5. Step 5: Solve for x
   x = 215,180.02/298.31
6. Step 6: Final answer
   x = 721.32