Finding the Third Proportional to 41,040 and 89,268.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,040 : 89,268.75 = 89,268.75 : x
2. Step 2: Convert to fraction form
   41,040/89,268.75 = 89,268.75/x
3. Step 3: Cross multiply
   41,040x = 89,268.75 × 89,268.75
4. Step 4: Simplify right side
   41,040x = 7,968,909,726.56
5. Step 5: Solve for x
   x = 7,968,909,726.56/41,040
6. Step 6: Final answer
   x = 194,174.21