Finding the Third Proportional to 83,170 and 181,892

Step by Step Solution

1. Step 1: Write the proportion equation
   83,170 : 181,892 = 181,892 : x
2. Step 2: Convert to fraction form
   83,170/181,892 = 181,892/x
3. Step 3: Cross multiply
   83,170x = 181,892 × 181,892
4. Step 4: Simplify right side
   83,170x = 33,084,699,664
5. Step 5: Solve for x
   x = 33,084,699,664/83,170
6. Step 6: Final answer
   x = 397,796.08