Finding the Third Proportional to 41,772 and 91,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,772 : 91,165.50 = 91,165.50 : x
2. Step 2: Convert to fraction form
   41,772/91,165.50 = 91,165.50/x
3. Step 3: Cross multiply
   41,772x = 91,165.50 × 91,165.50
4. Step 4: Simplify right side
   41,772x = 8,311,148,390.25
5. Step 5: Solve for x
   x = 8,311,148,390.25/41,772
6. Step 6: Final answer
   x = 198,964.58