Finding the Third Proportional to 41,526 and 88,245

Step by Step Solution

1. Step 1: Write the proportion equation
   41,526 : 88,245 = 88,245 : x
2. Step 2: Convert to fraction form
   41,526/88,245 = 88,245/x
3. Step 3: Cross multiply
   41,526x = 88,245 × 88,245
4. Step 4: Simplify right side
   41,526x = 7,787,180,025
5. Step 5: Solve for x
   x = 7,787,180,025/41,526
6. Step 6: Final answer
   x = 187,525.41