Finding the Third Proportional to 86,148 and 126,384

Step by Step Solution

1. Step 1: Write the proportion equation
   86,148 : 126,384 = 126,384 : x
2. Step 2: Convert to fraction form
   86,148/126,384 = 126,384/x
3. Step 3: Cross multiply
   86,148x = 126,384 × 126,384
4. Step 4: Simplify right side
   86,148x = 15,972,915,456
5. Step 5: Solve for x
   x = 15,972,915,456/86,148
6. Step 6: Final answer
   x = 185,412.49