Finding the Third Proportional to 123,559 and 271,175

Step by Step Solution

1. Step 1: Write the proportion equation
   123,559 : 271,175 = 271,175 : x
2. Step 2: Convert to fraction form
   123,559/271,175 = 271,175/x
3. Step 3: Cross multiply
   123,559x = 271,175 × 271,175
4. Step 4: Simplify right side
   123,559x = 73,535,880,625
5. Step 5: Solve for x
   x = 73,535,880,625/123,559
6. Step 6: Final answer
   x = 595,147.91