Finding the Third Proportional to 82,808 and 178,729

Step by Step Solution

1. Step 1: Write the proportion equation
   82,808 : 178,729 = 178,729 : x
2. Step 2: Convert to fraction form
   82,808/178,729 = 178,729/x
3. Step 3: Cross multiply
   82,808x = 178,729 × 178,729
4. Step 4: Simplify right side
   82,808x = 31,944,055,441
5. Step 5: Solve for x
   x = 31,944,055,441/82,808
6. Step 6: Final answer
   x = 385,760.50