Finding the Third Proportional to 106,496 and 227,200

Step by Step Solution

1. Step 1: Write the proportion equation
   106,496 : 227,200 = 227,200 : x
2. Step 2: Convert to fraction form
   106,496/227,200 = 227,200/x
3. Step 3: Cross multiply
   106,496x = 227,200 × 227,200
4. Step 4: Simplify right side
   106,496x = 51,619,840,000
5. Step 5: Solve for x
   x = 51,619,840,000/106,496
6. Step 6: Final answer
   x = 484,711.54