Finding the Third Proportional to 222.96 and 460.05

Step by Step Solution

1. Step 1: Write the proportion equation
   222.96 : 460.05 = 460.05 : x
2. Step 2: Convert to fraction form
   222.96/460.05 = 460.05/x
3. Step 3: Cross multiply
   222.96x = 460.05 × 460.05
4. Step 4: Simplify right side
   222.96x = 211,650.32
5. Step 5: Solve for x
   x = 211,650.32/222.96
6. Step 6: Final answer
   x = 949.27