Finding the Third Proportional to 40,326 and 86,822

Step by Step Solution

1. Step 1: Write the proportion equation
   40,326 : 86,822 = 86,822 : x
2. Step 2: Convert to fraction form
   40,326/86,822 = 86,822/x
3. Step 3: Cross multiply
   40,326x = 86,822 × 86,822
4. Step 4: Simplify right side
   40,326x = 7,538,059,684
5. Step 5: Solve for x
   x = 7,538,059,684/40,326
6. Step 6: Final answer
   x = 186,928.03