Finding the Third Proportional to 40,412 and 87,256

Step by Step Solution

1. Step 1: Write the proportion equation
   40,412 : 87,256 = 87,256 : x
2. Step 2: Convert to fraction form
   40,412/87,256 = 87,256/x
3. Step 3: Cross multiply
   40,412x = 87,256 × 87,256
4. Step 4: Simplify right side
   40,412x = 7,613,609,536
5. Step 5: Solve for x
   x = 7,613,609,536/40,412
6. Step 6: Final answer
   x = 188,399.72