Finding the Third Proportional to 462.94 and 645.38

Step by Step Solution

1. Step 1: Write the proportion equation
   462.94 : 645.38 = 645.38 : x
2. Step 2: Convert to fraction form
   462.94/645.38 = 645.38/x
3. Step 3: Cross multiply
   462.94x = 645.38 × 645.38
4. Step 4: Simplify right side
   462.94x = 416,508.89
5. Step 5: Solve for x
   x = 416,508.89/462.94
6. Step 6: Final answer
   x = 899.71