Finding the Third Proportional to 113.63 and 241.88

Step by Step Solution

1. Step 1: Write the proportion equation
   113.63 : 241.88 = 241.88 : x
2. Step 2: Convert to fraction form
   113.63/241.88 = 241.88/x
3. Step 3: Cross multiply
   113.63x = 241.88 × 241.88
4. Step 4: Simplify right side
   113.63x = 58,503.52
5. Step 5: Solve for x
   x = 58,503.52/113.63
6. Step 6: Final answer
   x = 514.88