Finding the Third Proportional to 456.30 and 661.03

Step by Step Solution

1. Step 1: Write the proportion equation
   456.30 : 661.03 = 661.03 : x
2. Step 2: Convert to fraction form
   456.30/661.03 = 661.03/x
3. Step 3: Cross multiply
   456.30x = 661.03 × 661.03
4. Step 4: Simplify right side
   456.30x = 436,962.31
5. Step 5: Solve for x
   x = 436,962.31/456.30
6. Step 6: Final answer
   x = 957.61