Finding the Third Proportional to 41,313 and 89,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,313 : 89,632.50 = 89,632.50 : x
2. Step 2: Convert to fraction form
   41,313/89,632.50 = 89,632.50/x
3. Step 3: Cross multiply
   41,313x = 89,632.50 × 89,632.50
4. Step 4: Simplify right side
   41,313x = 8,033,985,056.25
5. Step 5: Solve for x
   x = 8,033,985,056.25/41,313
6. Step 6: Final answer
   x = 194,466.27