Finding the Third Proportional to 126,967 and 189,004

Step by Step Solution

1. Step 1: Write the proportion equation
   126,967 : 189,004 = 189,004 : x
2. Step 2: Convert to fraction form
   126,967/189,004 = 189,004/x
3. Step 3: Cross multiply
   126,967x = 189,004 × 189,004
4. Step 4: Simplify right side
   126,967x = 35,722,512,016
5. Step 5: Solve for x
   x = 35,722,512,016/126,967
6. Step 6: Final answer
   x = 281,352.73