Finding the Third Proportional to 127,078 and 271,606

Step by Step Solution

1. Step 1: Write the proportion equation
   127,078 : 271,606 = 271,606 : x
2. Step 2: Convert to fraction form
   127,078/271,606 = 271,606/x
3. Step 3: Cross multiply
   127,078x = 271,606 × 271,606
4. Step 4: Simplify right side
   127,078x = 73,769,819,236
5. Step 5: Solve for x
   x = 73,769,819,236/127,078
6. Step 6: Final answer
   x = 580,508.19