Finding the Third Proportional to 40,768 and 89,554

Step by Step Solution

1. Step 1: Write the proportion equation
   40,768 : 89,554 = 89,554 : x
2. Step 2: Convert to fraction form
   40,768/89,554 = 89,554/x
3. Step 3: Cross multiply
   40,768x = 89,554 × 89,554
4. Step 4: Simplify right side
   40,768x = 8,019,918,916
5. Step 5: Solve for x
   x = 8,019,918,916/40,768
6. Step 6: Final answer
   x = 196,720.93