Finding the Third Proportional to 40,960 and 86,292

Step by Step Solution

1. Step 1: Write the proportion equation
   40,960 : 86,292 = 86,292 : x
2. Step 2: Convert to fraction form
   40,960/86,292 = 86,292/x
3. Step 3: Cross multiply
   40,960x = 86,292 × 86,292
4. Step 4: Simplify right side
   40,960x = 7,446,309,264
5. Step 5: Solve for x
   x = 7,446,309,264/40,960
6. Step 6: Final answer
   x = 181,794.66