Finding the Third Proportional to 56,189 and 84,256

Step by Step Solution

1. Step 1: Write the proportion equation
   56,189 : 84,256 = 84,256 : x
2. Step 2: Convert to fraction form
   56,189/84,256 = 84,256/x
3. Step 3: Cross multiply
   56,189x = 84,256 × 84,256
4. Step 4: Simplify right side
   56,189x = 7,099,073,536
5. Step 5: Solve for x
   x = 7,099,073,536/56,189
6. Step 6: Final answer
   x = 126,342.76