Finding the Third Proportional to 41,433 and 88,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,433 : 88,684.50 = 88,684.50 : x
2. Step 2: Convert to fraction form
   41,433/88,684.50 = 88,684.50/x
3. Step 3: Cross multiply
   41,433x = 88,684.50 × 88,684.50
4. Step 4: Simplify right side
   41,433x = 7,864,940,540.25
5. Step 5: Solve for x
   x = 7,864,940,540.25/41,433
6. Step 6: Final answer
   x = 189,823.10