Finding the Third Proportional to 82,383 and 123,291

Step by Step Solution

1. Step 1: Write the proportion equation
   82,383 : 123,291 = 123,291 : x
2. Step 2: Convert to fraction form
   82,383/123,291 = 123,291/x
3. Step 3: Cross multiply
   82,383x = 123,291 × 123,291
4. Step 4: Simplify right side
   82,383x = 15,200,670,681
5. Step 5: Solve for x
   x = 15,200,670,681/82,383
6. Step 6: Final answer
   x = 184,512.23