Finding the Third Proportional to 41,004 and 85,490

Step by Step Solution

1. Step 1: Write the proportion equation
   41,004 : 85,490 = 85,490 : x
2. Step 2: Convert to fraction form
   41,004/85,490 = 85,490/x
3. Step 3: Cross multiply
   41,004x = 85,490 × 85,490
4. Step 4: Simplify right side
   41,004x = 7,308,540,100
5. Step 5: Solve for x
   x = 7,308,540,100/41,004
6. Step 6: Final answer
   x = 178,239.69