Finding the Third Proportional to 41,214 and 88,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,214 : 88,258.50 = 88,258.50 : x
2. Step 2: Convert to fraction form
   41,214/88,258.50 = 88,258.50/x
3. Step 3: Cross multiply
   41,214x = 88,258.50 × 88,258.50
4. Step 4: Simplify right side
   41,214x = 7,789,562,822.25
5. Step 5: Solve for x
   x = 7,789,562,822.25/41,214
6. Step 6: Final answer
   x = 189,002.83