Finding the Third Proportional to 57.56 and 123.63

Step by Step Solution

1. Step 1: Write the proportion equation
   57.56 : 123.63 = 123.63 : x
2. Step 2: Convert to fraction form
   57.56/123.63 = 123.63/x
3. Step 3: Cross multiply
   57.56x = 123.63 × 123.63
4. Step 4: Simplify right side
   57.56x = 15,283.14
5. Step 5: Solve for x
   x = 15,283.14/57.56
6. Step 6: Final answer
   x = 265.51