Finding the Third Proportional to 83,974 and 181,475

Step by Step Solution

1. Step 1: Write the proportion equation
   83,974 : 181,475 = 181,475 : x
2. Step 2: Convert to fraction form
   83,974/181,475 = 181,475/x
3. Step 3: Cross multiply
   83,974x = 181,475 × 181,475
4. Step 4: Simplify right side
   83,974x = 32,933,175,625
5. Step 5: Solve for x
   x = 32,933,175,625/83,974
6. Step 6: Final answer
   x = 392,183.00