Finding the Third Proportional to 41,800 and 87,056

Step by Step Solution

1. Step 1: Write the proportion equation
   41,800 : 87,056 = 87,056 : x
2. Step 2: Convert to fraction form
   41,800/87,056 = 87,056/x
3. Step 3: Cross multiply
   41,800x = 87,056 × 87,056
4. Step 4: Simplify right side
   41,800x = 7,578,747,136
5. Step 5: Solve for x
   x = 7,578,747,136/41,800
6. Step 6: Final answer
   x = 181,309.74