Finding the Third Proportional to 41,197.50 and 90,411.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,197.50 : 90,411.75 = 90,411.75 : x
2. Step 2: Convert to fraction form
   41,197.50/90,411.75 = 90,411.75/x
3. Step 3: Cross multiply
   41,197.50x = 90,411.75 × 90,411.75
4. Step 4: Simplify right side
   41,197.50x = 8,174,284,538.06
5. Step 5: Solve for x
   x = 8,174,284,538.06/41,197.50
6. Step 6: Final answer
   x = 198,417.00