Finding the Third Proportional to 30,204 and 61,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,204 : 61,408.50 = 61,408.50 : x
2. Step 2: Convert to fraction form
   30,204/61,408.50 = 61,408.50/x
3. Step 3: Cross multiply
   30,204x = 61,408.50 × 61,408.50
4. Step 4: Simplify right side
   30,204x = 3,771,003,872.25
5. Step 5: Solve for x
   x = 3,771,003,872.25/30,204
6. Step 6: Final answer
   x = 124,851.14