Finding the Third Proportional to 123,824 and 271,382

Step by Step Solution

1. Step 1: Write the proportion equation
   123,824 : 271,382 = 271,382 : x
2. Step 2: Convert to fraction form
   123,824/271,382 = 271,382/x
3. Step 3: Cross multiply
   123,824x = 271,382 × 271,382
4. Step 4: Simplify right side
   123,824x = 73,648,189,924
5. Step 5: Solve for x
   x = 73,648,189,924/123,824
6. Step 6: Final answer
   x = 594,781.22