Finding the Third Proportional to 41,686.50 and 91,278.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,686.50 : 91,278.75 = 91,278.75 : x
2. Step 2: Convert to fraction form
   41,686.50/91,278.75 = 91,278.75/x
3. Step 3: Cross multiply
   41,686.50x = 91,278.75 × 91,278.75
4. Step 4: Simplify right side
   41,686.50x = 8,331,810,201.56
5. Step 5: Solve for x
   x = 8,331,810,201.56/41,686.50
6. Step 6: Final answer
   x = 199,868.31