Finding the Third Proportional to 41,683 and 86,141

Step by Step Solution

1. Step 1: Write the proportion equation
   41,683 : 86,141 = 86,141 : x
2. Step 2: Convert to fraction form
   41,683/86,141 = 86,141/x
3. Step 3: Cross multiply
   41,683x = 86,141 × 86,141
4. Step 4: Simplify right side
   41,683x = 7,420,271,881
5. Step 5: Solve for x
   x = 7,420,271,881/41,683
6. Step 6: Final answer
   x = 178,016.74