Finding the Third Proportional to 123,918 and 271,560

Step by Step Solution

1. Step 1: Write the proportion equation
   123,918 : 271,560 = 271,560 : x
2. Step 2: Convert to fraction form
   123,918/271,560 = 271,560/x
3. Step 3: Cross multiply
   123,918x = 271,560 × 271,560
4. Step 4: Simplify right side
   123,918x = 73,744,833,600
5. Step 5: Solve for x
   x = 73,744,833,600/123,918
6. Step 6: Final answer
   x = 595,109.94