Finding the Third Proportional to 111.56 and 176.63

Step by Step Solution

1. Step 1: Write the proportion equation
   111.56 : 176.63 = 176.63 : x
2. Step 2: Convert to fraction form
   111.56/176.63 = 176.63/x
3. Step 3: Cross multiply
   111.56x = 176.63 × 176.63
4. Step 4: Simplify right side
   111.56x = 31,196.39
5. Step 5: Solve for x
   x = 31,196.39/111.56
6. Step 6: Final answer
   x = 279.63