Finding the Third Proportional to 296.30 and 448.52

Step by Step Solution

1. Step 1: Write the proportion equation
   296.30 : 448.52 = 448.52 : x
2. Step 2: Convert to fraction form
   296.30/448.52 = 448.52/x
3. Step 3: Cross multiply
   296.30x = 448.52 × 448.52
4. Step 4: Simplify right side
   296.30x = 201,173.27
5. Step 5: Solve for x
   x = 201,173.27/296.30
6. Step 6: Final answer
   x = 678.96