Finding the Third Proportional to 40,946 and 86,018

Step by Step Solution

1. Step 1: Write the proportion equation
   40,946 : 86,018 = 86,018 : x
2. Step 2: Convert to fraction form
   40,946/86,018 = 86,018/x
3. Step 3: Cross multiply
   40,946x = 86,018 × 86,018
4. Step 4: Simplify right side
   40,946x = 7,399,096,324
5. Step 5: Solve for x
   x = 7,399,096,324/40,946
6. Step 6: Final answer
   x = 180,703.76