Finding the Third Proportional to 123,382 and 185,982

Step by Step Solution

1. Step 1: Write the proportion equation
   123,382 : 185,982 = 185,982 : x
2. Step 2: Convert to fraction form
   123,382/185,982 = 185,982/x
3. Step 3: Cross multiply
   123,382x = 185,982 × 185,982
4. Step 4: Simplify right side
   123,382x = 34,589,304,324
5. Step 5: Solve for x
   x = 34,589,304,324/123,382
6. Step 6: Final answer
   x = 280,343.20