Finding the Third Proportional to 116 and 222.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116 : 222.25 = 222.25 : x
2. Step 2: Convert to fraction form
   116/222.25 = 222.25/x
3. Step 3: Cross multiply
   116x = 222.25 × 222.25
4. Step 4: Simplify right side
   116x = 49,395.06
5. Step 5: Solve for x
   x = 49,395.06/116
6. Step 6: Final answer
   x = 425.82