Finding the Third Proportional to 86,173 and 188,383

Step by Step Solution

1. Step 1: Write the proportion equation
   86,173 : 188,383 = 188,383 : x
2. Step 2: Convert to fraction form
   86,173/188,383 = 188,383/x
3. Step 3: Cross multiply
   86,173x = 188,383 × 188,383
4. Step 4: Simplify right side
   86,173x = 35,488,154,689
5. Step 5: Solve for x
   x = 35,488,154,689/86,173
6. Step 6: Final answer
   x = 411,824.52