Finding the Third Proportional to 41,860 and 92,144

Step by Step Solution

1. Step 1: Write the proportion equation
   41,860 : 92,144 = 92,144 : x
2. Step 2: Convert to fraction form
   41,860/92,144 = 92,144/x
3. Step 3: Cross multiply
   41,860x = 92,144 × 92,144
4. Step 4: Simplify right side
   41,860x = 8,490,516,736
5. Step 5: Solve for x
   x = 8,490,516,736/41,860
6. Step 6: Final answer
   x = 202,831.26