Finding the Third Proportional to 83,105 and 181,762

Step by Step Solution

1. Step 1: Write the proportion equation
   83,105 : 181,762 = 181,762 : x
2. Step 2: Convert to fraction form
   83,105/181,762 = 181,762/x
3. Step 3: Cross multiply
   83,105x = 181,762 × 181,762
4. Step 4: Simplify right side
   83,105x = 33,037,424,644
5. Step 5: Solve for x
   x = 33,037,424,644/83,105
6. Step 6: Final answer
   x = 397,538.35