Finding the Third Proportional to 49.60 and 108.69

Step by Step Solution

1. Step 1: Write the proportion equation
   49.60 : 108.69 = 108.69 : x
2. Step 2: Convert to fraction form
   49.60/108.69 = 108.69/x
3. Step 3: Cross multiply
   49.60x = 108.69 × 108.69
4. Step 4: Simplify right side
   49.60x = 11,812.55
5. Step 5: Solve for x
   x = 11,812.55/49.60
6. Step 6: Final answer
   x = 238.17