Finding the Third Proportional to 50.34 and 84.78

Step by Step Solution

1. Step 1: Write the proportion equation
   50.34 : 84.78 = 84.78 : x
2. Step 2: Convert to fraction form
   50.34/84.78 = 84.78/x
3. Step 3: Cross multiply
   50.34x = 84.78 × 84.78
4. Step 4: Simplify right side
   50.34x = 7,187.86
5. Step 5: Solve for x
   x = 7,187.86/50.34
6. Step 6: Final answer
   x = 142.78