Finding the Third Proportional to 38,879.25 and 83,286.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,879.25 : 83,286.75 = 83,286.75 : x
2. Step 2: Convert to fraction form
   38,879.25/83,286.75 = 83,286.75/x
3. Step 3: Cross multiply
   38,879.25x = 83,286.75 × 83,286.75
4. Step 4: Simplify right side
   38,879.25x = 6,936,682,725.56
5. Step 5: Solve for x
   x = 6,936,682,725.56/38,879.25
6. Step 6: Final answer
   x = 178,416.06