Finding the Third Proportional to 40,881 and 90,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,881 : 90,496.50 = 90,496.50 : x
2. Step 2: Convert to fraction form
   40,881/90,496.50 = 90,496.50/x
3. Step 3: Cross multiply
   40,881x = 90,496.50 × 90,496.50
4. Step 4: Simplify right side
   40,881x = 8,189,616,512.25
5. Step 5: Solve for x
   x = 8,189,616,512.25/40,881
6. Step 6: Final answer
   x = 200,328.18