Finding the Third Proportional to 50.59 and 116.21

Step by Step Solution

1. Step 1: Write the proportion equation
   50.59 : 116.21 = 116.21 : x
2. Step 2: Convert to fraction form
   50.59/116.21 = 116.21/x
3. Step 3: Cross multiply
   50.59x = 116.21 × 116.21
4. Step 4: Simplify right side
   50.59x = 13,504.53
5. Step 5: Solve for x
   x = 13,504.53/50.59
6. Step 6: Final answer
   x = 266.94