Finding the Third Proportional to 36,184 and 76,256

Step by Step Solution

1. Step 1: Write the proportion equation
   36,184 : 76,256 = 76,256 : x
2. Step 2: Convert to fraction form
   36,184/76,256 = 76,256/x
3. Step 3: Cross multiply
   36,184x = 76,256 × 76,256
4. Step 4: Simplify right side
   36,184x = 5,814,977,536
5. Step 5: Solve for x
   x = 5,814,977,536/36,184
6. Step 6: Final answer
   x = 160,705.77