Finding the Third Proportional to 111.56 and 263.94

Step by Step Solution

1. Step 1: Write the proportion equation
   111.56 : 263.94 = 263.94 : x
2. Step 2: Convert to fraction form
   111.56/263.94 = 263.94/x
3. Step 3: Cross multiply
   111.56x = 263.94 × 263.94
4. Step 4: Simplify right side
   111.56x = 69,663.00
5. Step 5: Solve for x
   x = 69,663.00/111.56
6. Step 6: Final answer
   x = 624.43