Finding the Third Proportional to 83,303 and 181,396

Step by Step Solution

1. Step 1: Write the proportion equation
   83,303 : 181,396 = 181,396 : x
2. Step 2: Convert to fraction form
   83,303/181,396 = 181,396/x
3. Step 3: Cross multiply
   83,303x = 181,396 × 181,396
4. Step 4: Simplify right side
   83,303x = 32,904,508,816
5. Step 5: Solve for x
   x = 32,904,508,816/83,303
6. Step 6: Final answer
   x = 394,997.89