Finding the Third Proportional to 41,142 and 89,889

Step by Step Solution

1. Step 1: Write the proportion equation
   41,142 : 89,889 = 89,889 : x
2. Step 2: Convert to fraction form
   41,142/89,889 = 89,889/x
3. Step 3: Cross multiply
   41,142x = 89,889 × 89,889
4. Step 4: Simplify right side
   41,142x = 8,080,032,321
5. Step 5: Solve for x
   x = 8,080,032,321/41,142
6. Step 6: Final answer
   x = 196,393.77