Finding the Third Proportional to 41,780 and 90,022

Step by Step Solution

1. Step 1: Write the proportion equation
   41,780 : 90,022 = 90,022 : x
2. Step 2: Convert to fraction form
   41,780/90,022 = 90,022/x
3. Step 3: Cross multiply
   41,780x = 90,022 × 90,022
4. Step 4: Simplify right side
   41,780x = 8,103,960,484
5. Step 5: Solve for x
   x = 8,103,960,484/41,780
6. Step 6: Final answer
   x = 193,967.46