Finding the Third Proportional to 123,822 and 271,378

Step by Step Solution

1. Step 1: Write the proportion equation
   123,822 : 271,378 = 271,378 : x
2. Step 2: Convert to fraction form
   123,822/271,378 = 271,378/x
3. Step 3: Cross multiply
   123,822x = 271,378 × 271,378
4. Step 4: Simplify right side
   123,822x = 73,646,018,884
5. Step 5: Solve for x
   x = 73,646,018,884/123,822
6. Step 6: Final answer
   x = 594,773.29