Finding the Third Proportional to 123,882 and 271,824

Step by Step Solution

1. Step 1: Write the proportion equation
   123,882 : 271,824 = 271,824 : x
2. Step 2: Convert to fraction form
   123,882/271,824 = 271,824/x
3. Step 3: Cross multiply
   123,882x = 271,824 × 271,824
4. Step 4: Simplify right side
   123,882x = 73,888,286,976
5. Step 5: Solve for x
   x = 73,888,286,976/123,882
6. Step 6: Final answer
   x = 596,440.86