Finding the Third Proportional to 40,796 and 86,494

Step by Step Solution

1. Step 1: Write the proportion equation
   40,796 : 86,494 = 86,494 : x
2. Step 2: Convert to fraction form
   40,796/86,494 = 86,494/x
3. Step 3: Cross multiply
   40,796x = 86,494 × 86,494
4. Step 4: Simplify right side
   40,796x = 7,481,212,036
5. Step 5: Solve for x
   x = 7,481,212,036/40,796
6. Step 6: Final answer
   x = 183,381.02