Finding the Third Proportional to 86,196 and 126,456

Step by Step Solution

1. Step 1: Write the proportion equation
   86,196 : 126,456 = 126,456 : x
2. Step 2: Convert to fraction form
   86,196/126,456 = 126,456/x
3. Step 3: Cross multiply
   86,196x = 126,456 × 126,456
4. Step 4: Simplify right side
   86,196x = 15,991,119,936
5. Step 5: Solve for x
   x = 15,991,119,936/86,196
6. Step 6: Final answer
   x = 185,520.44