Finding the Third Proportional to 82,832 and 178,780

Step by Step Solution

1. Step 1: Write the proportion equation
   82,832 : 178,780 = 178,780 : x
2. Step 2: Convert to fraction form
   82,832/178,780 = 178,780/x
3. Step 3: Cross multiply
   82,832x = 178,780 × 178,780
4. Step 4: Simplify right side
   82,832x = 31,962,288,400
5. Step 5: Solve for x
   x = 31,962,288,400/82,832
6. Step 6: Final answer
   x = 385,868.85