Finding the Third Proportional to 83,736 and 189,360

Step by Step Solution

1. Step 1: Write the proportion equation
   83,736 : 189,360 = 189,360 : x
2. Step 2: Convert to fraction form
   83,736/189,360 = 189,360/x
3. Step 3: Cross multiply
   83,736x = 189,360 × 189,360
4. Step 4: Simplify right side
   83,736x = 35,857,209,600
5. Step 5: Solve for x
   x = 35,857,209,600/83,736
6. Step 6: Final answer
   x = 428,217.37