Finding the Third Proportional to 83,402 and 181,546

Step by Step Solution

1. Step 1: Write the proportion equation
   83,402 : 181,546 = 181,546 : x
2. Step 2: Convert to fraction form
   83,402/181,546 = 181,546/x
3. Step 3: Cross multiply
   83,402x = 181,546 × 181,546
4. Step 4: Simplify right side
   83,402x = 32,958,950,116
5. Step 5: Solve for x
   x = 32,958,950,116/83,402
6. Step 6: Final answer
   x = 395,181.77