Finding the Third Proportional to 40,276 and 86,383

Step by Step Solution

1. Step 1: Write the proportion equation
   40,276 : 86,383 = 86,383 : x
2. Step 2: Convert to fraction form
   40,276/86,383 = 86,383/x
3. Step 3: Cross multiply
   40,276x = 86,383 × 86,383
4. Step 4: Simplify right side
   40,276x = 7,462,022,689
5. Step 5: Solve for x
   x = 7,462,022,689/40,276
6. Step 6: Final answer
   x = 185,272.19