Finding the Third Proportional to 41,634 and 89,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,634 : 89,914.50 = 89,914.50 : x
2. Step 2: Convert to fraction form
   41,634/89,914.50 = 89,914.50/x
3. Step 3: Cross multiply
   41,634x = 89,914.50 × 89,914.50
4. Step 4: Simplify right side
   41,634x = 8,084,617,310.25
5. Step 5: Solve for x
   x = 8,084,617,310.25/41,634
6. Step 6: Final answer
   x = 194,183.05