Finding the Third Proportional to 41,822 and 91,960

Step by Step Solution

1. Step 1: Write the proportion equation
   41,822 : 91,960 = 91,960 : x
2. Step 2: Convert to fraction form
   41,822/91,960 = 91,960/x
3. Step 3: Cross multiply
   41,822x = 91,960 × 91,960
4. Step 4: Simplify right side
   41,822x = 8,456,641,600
5. Step 5: Solve for x
   x = 8,456,641,600/41,822
6. Step 6: Final answer
   x = 202,205.58