Finding the Third Proportional to 116.25 and 252.56

Step by Step Solution

1. Step 1: Write the proportion equation
   116.25 : 252.56 = 252.56 : x
2. Step 2: Convert to fraction form
   116.25/252.56 = 252.56/x
3. Step 3: Cross multiply
   116.25x = 252.56 × 252.56
4. Step 4: Simplify right side
   116.25x = 63,787.82
5. Step 5: Solve for x
   x = 63,787.82/116.25
6. Step 6: Final answer
   x = 548.71