Finding the Third Proportional to 41,580 and 90,684

Step by Step Solution

1. Step 1: Write the proportion equation
   41,580 : 90,684 = 90,684 : x
2. Step 2: Convert to fraction form
   41,580/90,684 = 90,684/x
3. Step 3: Cross multiply
   41,580x = 90,684 × 90,684
4. Step 4: Simplify right side
   41,580x = 8,223,587,856
5. Step 5: Solve for x
   x = 8,223,587,856/41,580
6. Step 6: Final answer
   x = 197,777.49