Finding the Third Proportional to 40,256 and 84,184

Step by Step Solution

1. Step 1: Write the proportion equation
   40,256 : 84,184 = 84,184 : x
2. Step 2: Convert to fraction form
   40,256/84,184 = 84,184/x
3. Step 3: Cross multiply
   40,256x = 84,184 × 84,184
4. Step 4: Simplify right side
   40,256x = 7,086,945,856
5. Step 5: Solve for x
   x = 7,086,945,856/40,256
6. Step 6: Final answer
   x = 176,046.95