Finding the Third Proportional to 41,210 and 89,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,210 : 89,969.50 = 89,969.50 : x
2. Step 2: Convert to fraction form
   41,210/89,969.50 = 89,969.50/x
3. Step 3: Cross multiply
   41,210x = 89,969.50 × 89,969.50
4. Step 4: Simplify right side
   41,210x = 8,094,510,930.25
5. Step 5: Solve for x
   x = 8,094,510,930.25/41,210
6. Step 6: Final answer
   x = 196,421.04