Finding the Third Proportional to 41,838 and 87,076

Step by Step Solution

1. Step 1: Write the proportion equation
   41,838 : 87,076 = 87,076 : x
2. Step 2: Convert to fraction form
   41,838/87,076 = 87,076/x
3. Step 3: Cross multiply
   41,838x = 87,076 × 87,076
4. Step 4: Simplify right side
   41,838x = 7,582,229,776
5. Step 5: Solve for x
   x = 7,582,229,776/41,838
6. Step 6: Final answer
   x = 181,228.30