Finding the Third Proportional to 84,488 and 181,456

Step by Step Solution

1. Step 1: Write the proportion equation
   84,488 : 181,456 = 181,456 : x
2. Step 2: Convert to fraction form
   84,488/181,456 = 181,456/x
3. Step 3: Cross multiply
   84,488x = 181,456 × 181,456
4. Step 4: Simplify right side
   84,488x = 32,926,279,936
5. Step 5: Solve for x
   x = 32,926,279,936/84,488
6. Step 6: Final answer
   x = 389,715.46