Finding the Third Proportional to 41,894 and 91,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,894 : 91,158.50 = 91,158.50 : x
2. Step 2: Convert to fraction form
   41,894/91,158.50 = 91,158.50/x
3. Step 3: Cross multiply
   41,894x = 91,158.50 × 91,158.50
4. Step 4: Simplify right side
   41,894x = 8,309,872,122.25
5. Step 5: Solve for x
   x = 8,309,872,122.25/41,894
6. Step 6: Final answer
   x = 198,354.71