Finding the Third Proportional to 41,693 and 89,218

Step by Step Solution

1. Step 1: Write the proportion equation
   41,693 : 89,218 = 89,218 : x
2. Step 2: Convert to fraction form
   41,693/89,218 = 89,218/x
3. Step 3: Cross multiply
   41,693x = 89,218 × 89,218
4. Step 4: Simplify right side
   41,693x = 7,959,851,524
5. Step 5: Solve for x
   x = 7,959,851,524/41,693
6. Step 6: Final answer
   x = 190,915.78