Finding the Third Proportional to 54,845 and 82,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,845 : 82,942.50 = 82,942.50 : x
2. Step 2: Convert to fraction form
   54,845/82,942.50 = 82,942.50/x
3. Step 3: Cross multiply
   54,845x = 82,942.50 × 82,942.50
4. Step 4: Simplify right side
   54,845x = 6,879,458,306.25
5. Step 5: Solve for x
   x = 6,879,458,306.25/54,845
6. Step 6: Final answer
   x = 125,434.56