Finding the Third Proportional to 123,557 and 271,171

Step by Step Solution

1. Step 1: Write the proportion equation
   123,557 : 271,171 = 271,171 : x
2. Step 2: Convert to fraction form
   123,557/271,171 = 271,171/x
3. Step 3: Cross multiply
   123,557x = 271,171 × 271,171
4. Step 4: Simplify right side
   123,557x = 73,533,711,241
5. Step 5: Solve for x
   x = 73,533,711,241/123,557
6. Step 6: Final answer
   x = 595,139.99