Finding the Third Proportional to 111.25 and 177.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111.25 : 177.75 = 177.75 : x
2. Step 2: Convert to fraction form
   111.25/177.75 = 177.75/x
3. Step 3: Cross multiply
   111.25x = 177.75 × 177.75
4. Step 4: Simplify right side
   111.25x = 31,595.06
5. Step 5: Solve for x
   x = 31,595.06/111.25
6. Step 6: Final answer
   x = 284.00