Finding the Third Proportional to 41,228 and 89,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,228 : 89,862.50 = 89,862.50 : x
2. Step 2: Convert to fraction form
   41,228/89,862.50 = 89,862.50/x
3. Step 3: Cross multiply
   41,228x = 89,862.50 × 89,862.50
4. Step 4: Simplify right side
   41,228x = 8,075,268,906.25
5. Step 5: Solve for x
   x = 8,075,268,906.25/41,228
6. Step 6: Final answer
   x = 195,868.56