Finding the Third Proportional to 126,492 and 189,684

Step by Step Solution

1. Step 1: Write the proportion equation
   126,492 : 189,684 = 189,684 : x
2. Step 2: Convert to fraction form
   126,492/189,684 = 189,684/x
3. Step 3: Cross multiply
   126,492x = 189,684 × 189,684
4. Step 4: Simplify right side
   126,492x = 35,980,019,856
5. Step 5: Solve for x
   x = 35,980,019,856/126,492
6. Step 6: Final answer
   x = 284,445.02