Finding the Third Proportional to 82,040 and 178,904

Step by Step Solution

1. Step 1: Write the proportion equation
   82,040 : 178,904 = 178,904 : x
2. Step 2: Convert to fraction form
   82,040/178,904 = 178,904/x
3. Step 3: Cross multiply
   82,040x = 178,904 × 178,904
4. Step 4: Simplify right side
   82,040x = 32,006,641,216
5. Step 5: Solve for x
   x = 32,006,641,216/82,040
6. Step 6: Final answer
   x = 390,134.58