Finding the Third Proportional to 41,164 and 88,564

Step by Step Solution

1. Step 1: Write the proportion equation
   41,164 : 88,564 = 88,564 : x
2. Step 2: Convert to fraction form
   41,164/88,564 = 88,564/x
3. Step 3: Cross multiply
   41,164x = 88,564 × 88,564
4. Step 4: Simplify right side
   41,164x = 7,843,582,096
5. Step 5: Solve for x
   x = 7,843,582,096/41,164
6. Step 6: Final answer
   x = 190,544.70