Finding the Third Proportional to 63.60 and 138.59

Step by Step Solution

1. Step 1: Write the proportion equation
   63.60 : 138.59 = 138.59 : x
2. Step 2: Convert to fraction form
   63.60/138.59 = 138.59/x
3. Step 3: Cross multiply
   63.60x = 138.59 × 138.59
4. Step 4: Simplify right side
   63.60x = 19,206.06
5. Step 5: Solve for x
   x = 19,206.06/63.60
6. Step 6: Final answer
   x = 301.99