Finding the Third Proportional to 56,256 and 87,456

Step by Step Solution

1. Step 1: Write the proportion equation
   56,256 : 87,456 = 87,456 : x
2. Step 2: Convert to fraction form
   56,256/87,456 = 87,456/x
3. Step 3: Cross multiply
   56,256x = 87,456 × 87,456
4. Step 4: Simplify right side
   56,256x = 7,648,551,936
5. Step 5: Solve for x
   x = 7,648,551,936/56,256
6. Step 6: Final answer
   x = 135,959.75