Finding the Third Proportional to 82,804 and 178,723

Step by Step Solution

1. Step 1: Write the proportion equation
   82,804 : 178,723 = 178,723 : x
2. Step 2: Convert to fraction form
   82,804/178,723 = 178,723/x
3. Step 3: Cross multiply
   82,804x = 178,723 × 178,723
4. Step 4: Simplify right side
   82,804x = 31,941,910,729
5. Step 5: Solve for x
   x = 31,941,910,729/82,804
6. Step 6: Final answer
   x = 385,753.23