Finding the Third Proportional to 136.25 and 289.38

Step by Step Solution

1. Step 1: Write the proportion equation
   136.25 : 289.38 = 289.38 : x
2. Step 2: Convert to fraction form
   136.25/289.38 = 289.38/x
3. Step 3: Cross multiply
   136.25x = 289.38 × 289.38
4. Step 4: Simplify right side
   136.25x = 83,737.89
5. Step 5: Solve for x
   x = 83,737.89/136.25
6. Step 6: Final answer
   x = 614.59