Finding the Third Proportional to 41,214 and 89,772

Step by Step Solution

1. Step 1: Write the proportion equation
   41,214 : 89,772 = 89,772 : x
2. Step 2: Convert to fraction form
   41,214/89,772 = 89,772/x
3. Step 3: Cross multiply
   41,214x = 89,772 × 89,772
4. Step 4: Simplify right side
   41,214x = 8,059,011,984
5. Step 5: Solve for x
   x = 8,059,011,984/41,214
6. Step 6: Final answer
   x = 195,540.64