Finding the Third Proportional to 41,026 and 90,128

Step by Step Solution

1. Step 1: Write the proportion equation
   41,026 : 90,128 = 90,128 : x
2. Step 2: Convert to fraction form
   41,026/90,128 = 90,128/x
3. Step 3: Cross multiply
   41,026x = 90,128 × 90,128
4. Step 4: Simplify right side
   41,026x = 8,123,056,384
5. Step 5: Solve for x
   x = 8,123,056,384/41,026
6. Step 6: Final answer
   x = 197,997.77