Finding the Third Proportional to 185.25 and 263.25

Step by Step Solution

1. Step 1: Write the proportion equation
   185.25 : 263.25 = 263.25 : x
2. Step 2: Convert to fraction form
   185.25/263.25 = 263.25/x
3. Step 3: Cross multiply
   185.25x = 263.25 × 263.25
4. Step 4: Simplify right side
   185.25x = 69,300.56
5. Step 5: Solve for x
   x = 69,300.56/185.25
6. Step 6: Final answer
   x = 374.09