Finding the Third Proportional to 126,216 and 189,648

Step by Step Solution

1. Step 1: Write the proportion equation
   126,216 : 189,648 = 189,648 : x
2. Step 2: Convert to fraction form
   126,216/189,648 = 189,648/x
3. Step 3: Cross multiply
   126,216x = 189,648 × 189,648
4. Step 4: Simplify right side
   126,216x = 35,966,363,904
5. Step 5: Solve for x
   x = 35,966,363,904/126,216
6. Step 6: Final answer
   x = 284,958.83