Finding the Third Proportional to 40,890 and 86,208

Step by Step Solution

1. Step 1: Write the proportion equation
   40,890 : 86,208 = 86,208 : x
2. Step 2: Convert to fraction form
   40,890/86,208 = 86,208/x
3. Step 3: Cross multiply
   40,890x = 86,208 × 86,208
4. Step 4: Simplify right side
   40,890x = 7,431,819,264
5. Step 5: Solve for x
   x = 7,431,819,264/40,890
6. Step 6: Final answer
   x = 181,751.51