Finding the Third Proportional to 40,566 and 86,736

Step by Step Solution

1. Step 1: Write the proportion equation
   40,566 : 86,736 = 86,736 : x
2. Step 2: Convert to fraction form
   40,566/86,736 = 86,736/x
3. Step 3: Cross multiply
   40,566x = 86,736 × 86,736
4. Step 4: Simplify right side
   40,566x = 7,523,133,696
5. Step 5: Solve for x
   x = 7,523,133,696/40,566
6. Step 6: Final answer
   x = 185,454.17