Finding the Third Proportional to 70.25 and 137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70.25 : 137.50 = 137.50 : x
2. Step 2: Convert to fraction form
   70.25/137.50 = 137.50/x
3. Step 3: Cross multiply
   70.25x = 137.50 × 137.50
4. Step 4: Simplify right side
   70.25x = 18,906.25
5. Step 5: Solve for x
   x = 18,906.25/70.25
6. Step 6: Final answer
   x = 269.13