Finding the Third Proportional to 400.94 and 460.56

Step by Step Solution

1. Step 1: Write the proportion equation
   400.94 : 460.56 = 460.56 : x
2. Step 2: Convert to fraction form
   400.94/460.56 = 460.56/x
3. Step 3: Cross multiply
   400.94x = 460.56 × 460.56
4. Step 4: Simplify right side
   400.94x = 212,117.82
5. Step 5: Solve for x
   x = 212,117.82/400.94
6. Step 6: Final answer
   x = 529.05