Finding the Third Proportional to 222,141.25 and 335,175

Step by Step Solution

1. Step 1: Write the proportion equation
   222,141.25 : 335,175 = 335,175 : x
2. Step 2: Convert to fraction form
   222,141.25/335,175 = 335,175/x
3. Step 3: Cross multiply
   222,141.25x = 335,175 × 335,175
4. Step 4: Simplify right side
   222,141.25x = 112,342,280,625
5. Step 5: Solve for x
   x = 112,342,280,625/222,141.25
6. Step 6: Final answer
   x = 505,724.54