Finding the Third Proportional to 41,787 and 89,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,787 : 89,401.50 = 89,401.50 : x
2. Step 2: Convert to fraction form
   41,787/89,401.50 = 89,401.50/x
3. Step 3: Cross multiply
   41,787x = 89,401.50 × 89,401.50
4. Step 4: Simplify right side
   41,787x = 7,992,628,202.25
5. Step 5: Solve for x
   x = 7,992,628,202.25/41,787
6. Step 6: Final answer
   x = 191,270.69