Finding the Third Proportional to 83,384 and 181,456

Step by Step Solution

1. Step 1: Write the proportion equation
   83,384 : 181,456 = 181,456 : x
2. Step 2: Convert to fraction form
   83,384/181,456 = 181,456/x
3. Step 3: Cross multiply
   83,384x = 181,456 × 181,456
4. Step 4: Simplify right side
   83,384x = 32,926,279,936
5. Step 5: Solve for x
   x = 32,926,279,936/83,384
6. Step 6: Final answer
   x = 394,875.28