Finding the Third Proportional to 126,758 and 269,064

Step by Step Solution

1. Step 1: Write the proportion equation
   126,758 : 269,064 = 269,064 : x
2. Step 2: Convert to fraction form
   126,758/269,064 = 269,064/x
3. Step 3: Cross multiply
   126,758x = 269,064 × 269,064
4. Step 4: Simplify right side
   126,758x = 72,395,436,096
5. Step 5: Solve for x
   x = 72,395,436,096/126,758
6. Step 6: Final answer
   x = 571,131.10