Finding the Third Proportional to 40,706 and 89,188

Step by Step Solution

1. Step 1: Write the proportion equation
   40,706 : 89,188 = 89,188 : x
2. Step 2: Convert to fraction form
   40,706/89,188 = 89,188/x
3. Step 3: Cross multiply
   40,706x = 89,188 × 89,188
4. Step 4: Simplify right side
   40,706x = 7,954,499,344
5. Step 5: Solve for x
   x = 7,954,499,344/40,706
6. Step 6: Final answer
   x = 195,413.44