Finding the Third Proportional to 138.38 and 188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138.38 : 188.50 = 188.50 : x
2. Step 2: Convert to fraction form
   138.38/188.50 = 188.50/x
3. Step 3: Cross multiply
   138.38x = 188.50 × 188.50
4. Step 4: Simplify right side
   138.38x = 35,532.25
5. Step 5: Solve for x
   x = 35,532.25/138.38
6. Step 6: Final answer
   x = 256.78