Finding the Third Proportional to 82,206 and 176,040

Step by Step Solution

1. Step 1: Write the proportion equation
   82,206 : 176,040 = 176,040 : x
2. Step 2: Convert to fraction form
   82,206/176,040 = 176,040/x
3. Step 3: Cross multiply
   82,206x = 176,040 × 176,040
4. Step 4: Simplify right side
   82,206x = 30,990,081,600
5. Step 5: Solve for x
   x = 30,990,081,600/82,206
6. Step 6: Final answer
   x = 376,980.78