Finding the Third Proportional to 85,136 and 181,856

Step by Step Solution

1. Step 1: Write the proportion equation
   85,136 : 181,856 = 181,856 : x
2. Step 2: Convert to fraction form
   85,136/181,856 = 181,856/x
3. Step 3: Cross multiply
   85,136x = 181,856 × 181,856
4. Step 4: Simplify right side
   85,136x = 33,071,604,736
5. Step 5: Solve for x
   x = 33,071,604,736/85,136
6. Step 6: Final answer
   x = 388,456.17