Finding the Third Proportional to 126,784 and 274,710

Step by Step Solution

1. Step 1: Write the proportion equation
   126,784 : 274,710 = 274,710 : x
2. Step 2: Convert to fraction form
   126,784/274,710 = 274,710/x
3. Step 3: Cross multiply
   126,784x = 274,710 × 274,710
4. Step 4: Simplify right side
   126,784x = 75,465,584,100
5. Step 5: Solve for x
   x = 75,465,584,100/126,784
6. Step 6: Final answer
   x = 595,229.56