Finding the Third Proportional to 41,822 and 89,462

Step by Step Solution

1. Step 1: Write the proportion equation
   41,822 : 89,462 = 89,462 : x
2. Step 2: Convert to fraction form
   41,822/89,462 = 89,462/x
3. Step 3: Cross multiply
   41,822x = 89,462 × 89,462
4. Step 4: Simplify right side
   41,822x = 8,003,449,444
5. Step 5: Solve for x
   x = 8,003,449,444/41,822
6. Step 6: Final answer
   x = 191,369.36