Finding the Third Proportional to 41,177.81 and 89,907.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,177.81 : 89,907.75 = 89,907.75 : x
2. Step 2: Convert to fraction form
   41,177.81/89,907.75 = 89,907.75/x
3. Step 3: Cross multiply
   41,177.81x = 89,907.75 × 89,907.75
4. Step 4: Simplify right side
   41,177.81x = 8,083,403,510.06
5. Step 5: Solve for x
   x = 8,083,403,510.06/41,177.81
6. Step 6: Final answer
   x = 196,304.83