Finding the Third Proportional to 298.16 and 456.15

Step by Step Solution

1. Step 1: Write the proportion equation
   298.16 : 456.15 = 456.15 : x
2. Step 2: Convert to fraction form
   298.16/456.15 = 456.15/x
3. Step 3: Cross multiply
   298.16x = 456.15 × 456.15
4. Step 4: Simplify right side
   298.16x = 208,074.96
5. Step 5: Solve for x
   x = 208,074.96/298.16
6. Step 6: Final answer
   x = 697.86