Finding the Third Proportional to 456.56 and 646.03

Step by Step Solution

1. Step 1: Write the proportion equation
   456.56 : 646.03 = 646.03 : x
2. Step 2: Convert to fraction form
   456.56/646.03 = 646.03/x
3. Step 3: Cross multiply
   456.56x = 646.03 × 646.03
4. Step 4: Simplify right side
   456.56x = 417,356.38
5. Step 5: Solve for x
   x = 417,356.38/456.56
6. Step 6: Final answer
   x = 914.13