Finding the Third Proportional to 299.32 and 456.89

Step by Step Solution

1. Step 1: Write the proportion equation
   299.32 : 456.89 = 456.89 : x
2. Step 2: Convert to fraction form
   299.32/456.89 = 456.89/x
3. Step 3: Cross multiply
   299.32x = 456.89 × 456.89
4. Step 4: Simplify right side
   299.32x = 208,749.04
5. Step 5: Solve for x
   x = 208,749.04/299.32
6. Step 6: Final answer
   x = 697.41