Finding the Third Proportional to 127,013 and 271,522

Step by Step Solution

1. Step 1: Write the proportion equation
   127,013 : 271,522 = 271,522 : x
2. Step 2: Convert to fraction form
   127,013/271,522 = 271,522/x
3. Step 3: Cross multiply
   127,013x = 271,522 × 271,522
4. Step 4: Simplify right side
   127,013x = 73,724,196,484
5. Step 5: Solve for x
   x = 73,724,196,484/127,013
6. Step 6: Final answer
   x = 580,446.07