Finding the Third Proportional to 41,094 and 89,154

Step by Step Solution

1. Step 1: Write the proportion equation
   41,094 : 89,154 = 89,154 : x
2. Step 2: Convert to fraction form
   41,094/89,154 = 89,154/x
3. Step 3: Cross multiply
   41,094x = 89,154 × 89,154
4. Step 4: Simplify right side
   41,094x = 7,948,435,716
5. Step 5: Solve for x
   x = 7,948,435,716/41,094
6. Step 6: Final answer
   x = 193,420.83