Finding the Third Proportional to 82,983 and 123,933

Step by Step Solution

1. Step 1: Write the proportion equation
   82,983 : 123,933 = 123,933 : x
2. Step 2: Convert to fraction form
   82,983/123,933 = 123,933/x
3. Step 3: Cross multiply
   82,983x = 123,933 × 123,933
4. Step 4: Simplify right side
   82,983x = 15,359,388,489
5. Step 5: Solve for x
   x = 15,359,388,489/82,983
6. Step 6: Final answer
   x = 185,090.78