Finding the Third Proportional to 126,228 and 189,666

Step by Step Solution

1. Step 1: Write the proportion equation
   126,228 : 189,666 = 189,666 : x
2. Step 2: Convert to fraction form
   126,228/189,666 = 189,666/x
3. Step 3: Cross multiply
   126,228x = 189,666 × 189,666
4. Step 4: Simplify right side
   126,228x = 35,973,191,556
5. Step 5: Solve for x
   x = 35,973,191,556/126,228
6. Step 6: Final answer
   x = 284,985.83