Finding the Third Proportional to 41,212 and 89,984

Step by Step Solution

1. Step 1: Write the proportion equation
   41,212 : 89,984 = 89,984 : x
2. Step 2: Convert to fraction form
   41,212/89,984 = 89,984/x
3. Step 3: Cross multiply
   41,212x = 89,984 × 89,984
4. Step 4: Simplify right side
   41,212x = 8,097,120,256
5. Step 5: Solve for x
   x = 8,097,120,256/41,212
6. Step 6: Final answer
   x = 196,474.82