Finding the Third Proportional to 41,884 and 90,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,884 : 90,328.50 = 90,328.50 : x
2. Step 2: Convert to fraction form
   41,884/90,328.50 = 90,328.50/x
3. Step 3: Cross multiply
   41,884x = 90,328.50 × 90,328.50
4. Step 4: Simplify right side
   41,884x = 8,159,237,912.25
5. Step 5: Solve for x
   x = 8,159,237,912.25/41,884
6. Step 6: Final answer
   x = 194,805.60