Finding the Third Proportional to 123,878 and 271,816

Step by Step Solution

1. Step 1: Write the proportion equation
   123,878 : 271,816 = 271,816 : x
2. Step 2: Convert to fraction form
   123,878/271,816 = 271,816/x
3. Step 3: Cross multiply
   123,878x = 271,816 × 271,816
4. Step 4: Simplify right side
   123,878x = 73,883,937,856
5. Step 5: Solve for x
   x = 73,883,937,856/123,878
6. Step 6: Final answer
   x = 596,425.01