Finding the Third Proportional to 83,036 and 181,658

Step by Step Solution

1. Step 1: Write the proportion equation
   83,036 : 181,658 = 181,658 : x
2. Step 2: Convert to fraction form
   83,036/181,658 = 181,658/x
3. Step 3: Cross multiply
   83,036x = 181,658 × 181,658
4. Step 4: Simplify right side
   83,036x = 32,999,628,964
5. Step 5: Solve for x
   x = 32,999,628,964/83,036
6. Step 6: Final answer
   x = 397,413.52