Finding the Third Proportional to 82,845 and 178,922.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,845 : 178,922.25 = 178,922.25 : x
2. Step 2: Convert to fraction form
   82,845/178,922.25 = 178,922.25/x
3. Step 3: Cross multiply
   82,845x = 178,922.25 × 178,922.25
4. Step 4: Simplify right side
   82,845x = 32,013,171,545.06
5. Step 5: Solve for x
   x = 32,013,171,545.06/82,845
6. Step 6: Final answer
   x = 386,422.49