Finding the Third Proportional to 41,142 and 90,138

Step by Step Solution

1. Step 1: Write the proportion equation
   41,142 : 90,138 = 90,138 : x
2. Step 2: Convert to fraction form
   41,142/90,138 = 90,138/x
3. Step 3: Cross multiply
   41,142x = 90,138 × 90,138
4. Step 4: Simplify right side
   41,142x = 8,124,859,044
5. Step 5: Solve for x
   x = 8,124,859,044/41,142
6. Step 6: Final answer
   x = 197,483.33