Finding the Third Proportional to 40,770 and 86,706

Step by Step Solution

1. Step 1: Write the proportion equation
   40,770 : 86,706 = 86,706 : x
2. Step 2: Convert to fraction form
   40,770/86,706 = 86,706/x
3. Step 3: Cross multiply
   40,770x = 86,706 × 86,706
4. Step 4: Simplify right side
   40,770x = 7,517,930,436
5. Step 5: Solve for x
   x = 7,517,930,436/40,770
6. Step 6: Final answer
   x = 184,398.59