Finding the Third Proportional to 123.63 and 185.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123.63 : 185.25 = 185.25 : x
2. Step 2: Convert to fraction form
   123.63/185.25 = 185.25/x
3. Step 3: Cross multiply
   123.63x = 185.25 × 185.25
4. Step 4: Simplify right side
   123.63x = 34,317.56
5. Step 5: Solve for x
   x = 34,317.56/123.63
6. Step 6: Final answer
   x = 277.59