Finding the Third Proportional to 82,920 and 181,392

Step by Step Solution

1. Step 1: Write the proportion equation
   82,920 : 181,392 = 181,392 : x
2. Step 2: Convert to fraction form
   82,920/181,392 = 181,392/x
3. Step 3: Cross multiply
   82,920x = 181,392 × 181,392
4. Step 4: Simplify right side
   82,920x = 32,903,057,664
5. Step 5: Solve for x
   x = 32,903,057,664/82,920
6. Step 6: Final answer
   x = 396,804.84