Finding the Third Proportional to 222 and 341.25

Step by Step Solution

1. Step 1: Write the proportion equation
   222 : 341.25 = 341.25 : x
2. Step 2: Convert to fraction form
   222/341.25 = 341.25/x
3. Step 3: Cross multiply
   222x = 341.25 × 341.25
4. Step 4: Simplify right side
   222x = 116,451.56
5. Step 5: Solve for x
   x = 116,451.56/222
6. Step 6: Final answer
   x = 524.56