Finding the Third Proportional to 82,916 and 181,384

Step by Step Solution

1. Step 1: Write the proportion equation
   82,916 : 181,384 = 181,384 : x
2. Step 2: Convert to fraction form
   82,916/181,384 = 181,384/x
3. Step 3: Cross multiply
   82,916x = 181,384 × 181,384
4. Step 4: Simplify right side
   82,916x = 32,900,155,456
5. Step 5: Solve for x
   x = 32,900,155,456/82,916
6. Step 6: Final answer
   x = 396,788.98