Finding the Third Proportional to 40,886 and 89,308

Step by Step Solution

1. Step 1: Write the proportion equation
   40,886 : 89,308 = 89,308 : x
2. Step 2: Convert to fraction form
   40,886/89,308 = 89,308/x
3. Step 3: Cross multiply
   40,886x = 89,308 × 89,308
4. Step 4: Simplify right side
   40,886x = 7,975,918,864
5. Step 5: Solve for x
   x = 7,975,918,864/40,886
6. Step 6: Final answer
   x = 195,077.02