Finding the Third Proportional to 41,434 and 89,869

Step by Step Solution

1. Step 1: Write the proportion equation
   41,434 : 89,869 = 89,869 : x
2. Step 2: Convert to fraction form
   41,434/89,869 = 89,869/x
3. Step 3: Cross multiply
   41,434x = 89,869 × 89,869
4. Step 4: Simplify right side
   41,434x = 8,076,437,161
5. Step 5: Solve for x
   x = 8,076,437,161/41,434
6. Step 6: Final answer
   x = 194,922.94