Finding the Third Proportional to 138.50 and 273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138.50 : 273.50 = 273.50 : x
2. Step 2: Convert to fraction form
   138.50/273.50 = 273.50/x
3. Step 3: Cross multiply
   138.50x = 273.50 × 273.50
4. Step 4: Simplify right side
   138.50x = 74,802.25
5. Step 5: Solve for x
   x = 74,802.25/138.50
6. Step 6: Final answer
   x = 540.09