Finding the Third Proportional to 82,851 and 181,832

Step by Step Solution

1. Step 1: Write the proportion equation
   82,851 : 181,832 = 181,832 : x
2. Step 2: Convert to fraction form
   82,851/181,832 = 181,832/x
3. Step 3: Cross multiply
   82,851x = 181,832 × 181,832
4. Step 4: Simplify right side
   82,851x = 33,062,876,224
5. Step 5: Solve for x
   x = 33,062,876,224/82,851
6. Step 6: Final answer
   x = 399,064.30