Finding the Third Proportional to 205.31 and 448.56

Step by Step Solution

1. Step 1: Write the proportion equation
   205.31 : 448.56 = 448.56 : x
2. Step 2: Convert to fraction form
   205.31/448.56 = 448.56/x
3. Step 3: Cross multiply
   205.31x = 448.56 × 448.56
4. Step 4: Simplify right side
   205.31x = 201,208.32
5. Step 5: Solve for x
   x = 201,208.32/205.31
6. Step 6: Final answer
   x = 980.01