Finding the Third Proportional to 222.50 and 297.63

Step by Step Solution

1. Step 1: Write the proportion equation
   222.50 : 297.63 = 297.63 : x
2. Step 2: Convert to fraction form
   222.50/297.63 = 297.63/x
3. Step 3: Cross multiply
   222.50x = 297.63 × 297.63
4. Step 4: Simplify right side
   222.50x = 88,580.64
5. Step 5: Solve for x
   x = 88,580.64/222.50
6. Step 6: Final answer
   x = 398.12