Finding the Third Proportional to 82,804 and 178,724

Step by Step Solution

1. Step 1: Write the proportion equation
   82,804 : 178,724 = 178,724 : x
2. Step 2: Convert to fraction form
   82,804/178,724 = 178,724/x
3. Step 3: Cross multiply
   82,804x = 178,724 × 178,724
4. Step 4: Simplify right side
   82,804x = 31,942,268,176
5. Step 5: Solve for x
   x = 31,942,268,176/82,804
6. Step 6: Final answer
   x = 385,757.55