Finding the Third Proportional to 106,832 and 227,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,832 : 227,964.50 = 227,964.50 : x
2. Step 2: Convert to fraction form
   106,832/227,964.50 = 227,964.50/x
3. Step 3: Cross multiply
   106,832x = 227,964.50 × 227,964.50
4. Step 4: Simplify right side
   106,832x = 51,967,813,260.25
5. Step 5: Solve for x
   x = 51,967,813,260.25/106,832
6. Step 6: Final answer
   x = 486,444.26