Finding the Third Proportional to 82,914 and 178,932

Step by Step Solution

1. Step 1: Write the proportion equation
   82,914 : 178,932 = 178,932 : x
2. Step 2: Convert to fraction form
   82,914/178,932 = 178,932/x
3. Step 3: Cross multiply
   82,914x = 178,932 × 178,932
4. Step 4: Simplify right side
   82,914x = 32,016,660,624
5. Step 5: Solve for x
   x = 32,016,660,624/82,914
6. Step 6: Final answer
   x = 386,143.00