Finding the Third Proportional to 41,140 and 89,893

Step by Step Solution

1. Step 1: Write the proportion equation
   41,140 : 89,893 = 89,893 : x
2. Step 2: Convert to fraction form
   41,140/89,893 = 89,893/x
3. Step 3: Cross multiply
   41,140x = 89,893 × 89,893
4. Step 4: Simplify right side
   41,140x = 8,080,751,449
5. Step 5: Solve for x
   x = 8,080,751,449/41,140
6. Step 6: Final answer
   x = 196,420.79