Finding the Third Proportional to 40,907.25 and 89,205.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40,907.25 : 89,205.75 = 89,205.75 : x
2. Step 2: Convert to fraction form
   40,907.25/89,205.75 = 89,205.75/x
3. Step 3: Cross multiply
   40,907.25x = 89,205.75 × 89,205.75
4. Step 4: Simplify right side
   40,907.25x = 7,957,665,833.06
5. Step 5: Solve for x
   x = 7,957,665,833.06/40,907.25
6. Step 6: Final answer
   x = 194,529.47