Finding the Third Proportional to 117.14 and 222.89

Step by Step Solution

1. Step 1: Write the proportion equation
   117.14 : 222.89 = 222.89 : x
2. Step 2: Convert to fraction form
   117.14/222.89 = 222.89/x
3. Step 3: Cross multiply
   117.14x = 222.89 × 222.89
4. Step 4: Simplify right side
   117.14x = 49,680.23
5. Step 5: Solve for x
   x = 49,680.23/117.14
6. Step 6: Final answer
   x = 424.11