Finding the Third Proportional to 113.50 and 208.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113.50 : 208.25 = 208.25 : x
2. Step 2: Convert to fraction form
   113.50/208.25 = 208.25/x
3. Step 3: Cross multiply
   113.50x = 208.25 × 208.25
4. Step 4: Simplify right side
   113.50x = 43,368.06
5. Step 5: Solve for x
   x = 43,368.06/113.50
6. Step 6: Final answer
   x = 382.10