Finding the Third Proportional to 40,705 and 86,786

Step by Step Solution

1. Step 1: Write the proportion equation
   40,705 : 86,786 = 86,786 : x
2. Step 2: Convert to fraction form
   40,705/86,786 = 86,786/x
3. Step 3: Cross multiply
   40,705x = 86,786 × 86,786
4. Step 4: Simplify right side
   40,705x = 7,531,809,796
5. Step 5: Solve for x
   x = 7,531,809,796/40,705
6. Step 6: Final answer
   x = 185,034.02