Finding the Third Proportional to 123.75 and 185.63

Step by Step Solution

1. Step 1: Write the proportion equation
   123.75 : 185.63 = 185.63 : x
2. Step 2: Convert to fraction form
   123.75/185.63 = 185.63/x
3. Step 3: Cross multiply
   123.75x = 185.63 × 185.63
4. Step 4: Simplify right side
   123.75x = 34,456.64
5. Step 5: Solve for x
   x = 34,456.64/123.75
6. Step 6: Final answer
   x = 278.44