Finding the Third Proportional to 42,165 and 89,190

Step by Step Solution

1. Step 1: Write the proportion equation
   42,165 : 89,190 = 89,190 : x
2. Step 2: Convert to fraction form
   42,165/89,190 = 89,190/x
3. Step 3: Cross multiply
   42,165x = 89,190 × 89,190
4. Step 4: Simplify right side
   42,165x = 7,954,856,100
5. Step 5: Solve for x
   x = 7,954,856,100/42,165
6. Step 6: Final answer
   x = 188,660.17