Finding the Third Proportional to 456.34 and 645.71

Step by Step Solution

1. Step 1: Write the proportion equation
   456.34 : 645.71 = 645.71 : x
2. Step 2: Convert to fraction form
   456.34/645.71 = 645.71/x
3. Step 3: Cross multiply
   456.34x = 645.71 × 645.71
4. Step 4: Simplify right side
   456.34x = 416,936.31
5. Step 5: Solve for x
   x = 416,936.31/456.34
6. Step 6: Final answer
   x = 913.66