Finding the Third Proportional to 41,606 and 89,772

Step by Step Solution

1. Step 1: Write the proportion equation
   41,606 : 89,772 = 89,772 : x
2. Step 2: Convert to fraction form
   41,606/89,772 = 89,772/x
3. Step 3: Cross multiply
   41,606x = 89,772 × 89,772
4. Step 4: Simplify right side
   41,606x = 8,059,011,984
5. Step 5: Solve for x
   x = 8,059,011,984/41,606
6. Step 6: Final answer
   x = 193,698.31