Finding the Third Proportional to 41,566 and 89,036

Step by Step Solution

1. Step 1: Write the proportion equation
   41,566 : 89,036 = 89,036 : x
2. Step 2: Convert to fraction form
   41,566/89,036 = 89,036/x
3. Step 3: Cross multiply
   41,566x = 89,036 × 89,036
4. Step 4: Simplify right side
   41,566x = 7,927,409,296
5. Step 5: Solve for x
   x = 7,927,409,296/41,566
6. Step 6: Final answer
   x = 190,718.60