Finding the Third Proportional to 38,268 and 82,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,268 : 82,684.50 = 82,684.50 : x
2. Step 2: Convert to fraction form
   38,268/82,684.50 = 82,684.50/x
3. Step 3: Cross multiply
   38,268x = 82,684.50 × 82,684.50
4. Step 4: Simplify right side
   38,268x = 6,836,726,540.25
5. Step 5: Solve for x
   x = 6,836,726,540.25/38,268
6. Step 6: Final answer
   x = 178,653.88