Finding the Third Proportional to 460.05 and 646.59

Step by Step Solution

1. Step 1: Write the proportion equation
   460.05 : 646.59 = 646.59 : x
2. Step 2: Convert to fraction form
   460.05/646.59 = 646.59/x
3. Step 3: Cross multiply
   460.05x = 646.59 × 646.59
4. Step 4: Simplify right side
   460.05x = 418,083.48
5. Step 5: Solve for x
   x = 418,083.48/460.05
6. Step 6: Final answer
   x = 908.77