Finding the Third Proportional to 123.75 and 186.63

Step by Step Solution

1. Step 1: Write the proportion equation
   123.75 : 186.63 = 186.63 : x
2. Step 2: Convert to fraction form
   123.75/186.63 = 186.63/x
3. Step 3: Cross multiply
   123.75x = 186.63 × 186.63
4. Step 4: Simplify right side
   123.75x = 34,828.89
5. Step 5: Solve for x
   x = 34,828.89/123.75
6. Step 6: Final answer
   x = 281.45