Finding the Third Proportional to 38,200.78 and 82,546.59

Step by Step Solution

1. Step 1: Write the proportion equation
   38,200.78 : 82,546.59 = 82,546.59 : x
2. Step 2: Convert to fraction form
   38,200.78/82,546.59 = 82,546.59/x
3. Step 3: Cross multiply
   38,200.78x = 82,546.59 × 82,546.59
4. Step 4: Simplify right side
   38,200.78x = 6,813,940,139.73
5. Step 5: Solve for x
   x = 6,813,940,139.73/38,200.78
6. Step 6: Final answer
   x = 178,371.75