Finding the Third Proportional to 41,194 and 89,938

Step by Step Solution

1. Step 1: Write the proportion equation
   41,194 : 89,938 = 89,938 : x
2. Step 2: Convert to fraction form
   41,194/89,938 = 89,938/x
3. Step 3: Cross multiply
   41,194x = 89,938 × 89,938
4. Step 4: Simplify right side
   41,194x = 8,088,843,844
5. Step 5: Solve for x
   x = 8,088,843,844/41,194
6. Step 6: Final answer
   x = 196,359.76