Finding the Third Proportional to 113.63 and 266.88

Step by Step Solution

1. Step 1: Write the proportion equation
   113.63 : 266.88 = 266.88 : x
2. Step 2: Convert to fraction form
   113.63/266.88 = 266.88/x
3. Step 3: Cross multiply
   113.63x = 266.88 × 266.88
4. Step 4: Simplify right side
   113.63x = 71,222.27
5. Step 5: Solve for x
   x = 71,222.27/113.63
6. Step 6: Final answer
   x = 626.82