Finding the Third Proportional to 41,364 and 89,424

Step by Step Solution

1. Step 1: Write the proportion equation
   41,364 : 89,424 = 89,424 : x
2. Step 2: Convert to fraction form
   41,364/89,424 = 89,424/x
3. Step 3: Cross multiply
   41,364x = 89,424 × 89,424
4. Step 4: Simplify right side
   41,364x = 7,996,651,776
5. Step 5: Solve for x
   x = 7,996,651,776/41,364
6. Step 6: Final answer
   x = 193,323.95